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% BibTeX Entries
@article {Andersen85,
    AUTHOR = {Andersen, H. H.},
     TITLE = {Schubert varieties and {D}emazure's character formula},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {79},
      YEAR = {1985},
    NUMBER = {3},
     PAGES = {611--618},
      ISSN = {0020-9910},
   MRCLASS = {14M15 (14F05 20G05)},
  MRNUMBER = {782239},
MRREVIEWER = {S. Ramanan},
       DOI = {10.1007/BF01388527},
       URL = {https://doi.org/10.1007/BF01388527},
}

@unpublished{Anderson11,
   author = {Anderson, D.},
   title = {Introduction to equivariant cohomology in algebraic geometry},
   year = {2011},
   url = {https://arxiv.org/abs/1112.1421},
   note = {Notes on lectures by W. Fulton at IMPAGNA summer school, 2010, \arxiv{1112.1421}},
}

@article{Anderson19,
   author = {Anderson, D.},
   title = {K-theoretic Chern class formulas for vexillary degeneracy loci},
   year = {2019},
   url = {https://doi.org/10.1016/j.aim.2019.04.049},
   journal = {Adv. Math.},
   fjournal = {Advances in Mathematics},
   volume = {350},
   pages = {440--485},
   doi = {10.1016/j.aim.2019.04.049},
}

@article{AS18:Demazure,
     author = {Assaf, Sami and Schilling, A.},
     title = {A {D}emazure crystal construction for {S}chubert polynomials},
     journal = {Algebraic Combinatorics},
     publisher = {MathOA foundation},
     volume = {1},
     number = {2},
     year = {2018},
     pages = {225-247},
     doi = {10.5802/alco.13},
     zbl = {06882340},
     language = {en},
     url = {http://alco.centre-mersenne.org/item/ALCO_2018__1_2_225_0}
}

@article {AS18:Kohnert,
    AUTHOR = {Assaf, Sami and Searles, Dominic},
     TITLE = {Kohnert tableaux and a lifting of quasi-{S}chur functions},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {156},
      YEAR = {2018},
     PAGES = {85--118},
      ISSN = {0097-3165},
   MRCLASS = {05E05},
  MRNUMBER = {3762104},
       DOI = {10.1016/j.jcta.2018.01.001},
       URL = {https://doi.org/10.1016/j.jcta.2018.01.001},
}

@incollection{Assaf08,
    AUTHOR = {Assaf, Sami},
     TITLE = {A combinatorial realization of {S}chur-{W}eyl duality via
              crystal graphs and dual equivalence graphs},
 BOOKTITLE = {20th {I}nternational {C}onference on {F}ormal {P}ower {S}eries
              and {A}lgebraic {C}ombinatorics ({FPSAC} 2008)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AS},
     PAGES = {141--152},
 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
      YEAR = {2008},
   MRCLASS = {05E15},
  MRNUMBER = {3090977},
}

@article{B31,
 author               = {Bethe, H.},
 doi                  = {10.1007/BF01341708},
 issn                 = {0044-3328},
 journal              = {Zeitschrift f\"ur Physik},
 language             = {German},
 number               = {3-4},
 pages                = {205-226},
 publisher            = {Springer-Verlag},
 title                = {Zur {T}heorie der {M}etalle},
 url                  = {https://dx.doi.org/10.1007/BF01341708},
 volume               = {71},
 year                 = {1931},
 }

@book{B89,
 address              = {London},
 author               = {Baxter, Rodney J.},
 isbn                 = {0-12-083182-1},
 mrclass              = {82-02 (82A05 82A69)},
 mrnumber             = {998375 (90b:82001)},
 note                 = {Reprint of the 1982 original},
 pages                = {xii+486},
 publisher            = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
 title                = {Exactly solved models in statistical mechanics},
 year                 = {1989},
 }

@article{baker2000,
 author               = {Baker, Timothy H.},
 coden                = {KRMPBV},
 doi                  = {10.2977/prims/1195142873},
 fjournal             = {Kyoto University. Research Institute for Mathematical Sciences. Publications},
 issn                 = {0034-5318},
 journal              = {Publ. Res. Inst. Math. Sci.},
 mrclass              = {17B37 (05E15 81R50)},
 mrnumber             = {1794408 (2002k:17029)},
 mrreviewer           = {Kailash C. Misra},
 number               = {4},
 pages                = {533--572},
 title                = {Zero actions and energy functions for perfect crystals},
 url                  = {https://dx.doi.org/10.2977/prims/1195142873},
 volume               = {36},
 year                 = {2000},
 }

@article {BB93,
    AUTHOR = {Bergeron, N. and Billey, S.},
     TITLE = {R{C}-graphs and {S}chubert polynomials},
   JOURNAL = {Experiment. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {2},
      YEAR = {1993},
    NUMBER = {4},
     PAGES = {257--269},
      ISSN = {1058-6458},
   MRCLASS = {05E99 (05E05 14M15 20C30)},
  MRNUMBER = {1281474},
MRREVIEWER = {Axel Kohnert},
       URL = {http://projecteuclid.org/euclid.em/1048516036},
}

@book {BB05,
    AUTHOR = {Bj\"orner, Anders and Brenti, Francesco},
     TITLE = {Combinatorics of {C}oxeter groups},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {231},
 PUBLISHER = {Springer, New York},
      YEAR = {2005},
     PAGES = {xiv+363},
      ISBN = {978-3540-442387; 3-540-44238-3},
   MRCLASS = {05-01 (05E15 20F55)},
  MRNUMBER = {2133266},
MRREVIEWER = {Jian-yi Shi},
}

@article{BBB,
   author = {Brubaker, B. and Buciumas, V. and Bump, D.},
   title = {A {Y}ang-{B}axter equation for metaplectic ice},
   year = {2019},
   journal = {Commun. Number Theory Phys.},
   volume = {13},
   number = {1},
   pages = {101--148},
   url = {https://arxiv.org/abs/1709.06500},
}


@article {BBBG19,
    AUTHOR = {Brubaker, Ben and Buciumas, Valentin and Bump, Daniel and
              Gustafsson, Henrik P. A.},
     TITLE = {Colored five-vertex models and {D}emazure atoms},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {178},
      YEAR = {2021},
     PAGES = {105354},
      ISSN = {0097-3165},
   MRCLASS = {05E05 (05E10 05E16)},
  MRNUMBER = {4165627},
       DOI = {10.1016/j.jcta.2020.105354},
       URL = {https://doi.org/10.1016/j.jcta.2020.105354},
}


@misc{frozenpipes,
   author = {Brubaker, B. and Frechette, C. and Hardt, A. and Tibor, E. and Weber, K.},
   title = {Frozen pipes: {L}attice models for {G}rothendieck polynomials},
   year = {2020},
   urlunused = {https://arxiv.org/abs/2007.04310},
   eprint = {2007.04310},
   eprinttype = {arXiv},
}

@misc{BBBGIwahori,
   author = {Brubaker, B. and Buciumas, V. and Bump, D. and Gustafsson, H. P. A.},
   title = {Colored vertex models and {I}wahori {W}hittaker functions},
   year = {2019},
   urlunused = {https://arxiv.org/abs/1906.04140},
   eprint = {1906.04140},
   eprinttype = {arXiv},
}

@article{BBBG19II,
   author = {Brubaker, B. and Buciumas, V. and Bump, D. and Gray, N.},
   title = {Duality for metaplectic ice},
   year = {2019},
   journal = {Commun. Number Theory Phys.},
   volume = {13},
   number = {1},
   pages = {101--148},
   url = {https://arxiv.org/abs/1709.06500},
}

@article {BE90,
    AUTHOR = {Bressler, Paul and Evens, Sam},
     TITLE = {The {S}chubert calculus, braid relations, and generalized
              cohomology},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {317},
      YEAR = {1990},
    NUMBER = {2},
     PAGES = {799--811},
      ISSN = {0002-9947},
   MRCLASS = {57T15 (22E45 32M10 55N20)},
  MRNUMBER = {968883},
MRREVIEWER = {V. P. Snaith},
       DOI = {10.2307/2001488},
       URL = {https://doi.org/10.2307/2001488},
}

@incollection {BBCFG12,
    AUTHOR = {Brubaker, B. and Bump, D. and Chinta, G. and
              Friedberg, S. and Gunnells, P. E.},
     TITLE = {Metaplectic ice},
 BOOKTITLE = {Multiple {D}irichlet series, {L}-functions and automorphic
              forms},
    SERIES = {Progr. Math.},
    VOLUME = {300},
     PAGES = {65--92},
 PUBLISHER = {Birkh\"auser/Springer, New York},
      YEAR = {2012},
   MRCLASS = {11M32 (22E50)},
  MRNUMBER = {2952572},
MRREVIEWER = {Goran Mui\'c},
       DOI = {10.1007/978-0-8176-8334-4_3},
       URL = {https://doi.org/10.1007/978-0-8176-8334-4_3},
}

@incollection {BBCG12,
    AUTHOR = {Brubaker, B. and Bump, D. and Chinta, G. and
              Gunnells, P. E.},
     TITLE = {Crystals of type {B} and metaplectic Whittaker functions},
 BOOKTITLE = {Multiple {D}irichlet series, {L}-functions and automorphic
              forms},
    SERIES = {Progr. Math.},
    VOLUME = {300},
     PAGES = {93--118},
 PUBLISHER = {Birkh\"auser/Springer, New York},
      YEAR = {2012},
   MRCLASS = {11M32 (22E50)},
  MRNUMBER = {2952572},
MRREVIEWER = {Goran Mui\'c},
       DOI = {10.1007/978-0-8176-8334-4_4},
       URL = {https://doi.org/10.1007/978-0-8176-8334-4_4},
}

@article {BBF11,
    AUTHOR = {Brubaker, B. and Bump, D. and Friedberg, S.},
     TITLE = {Schur polynomials and the {Y}ang-{B}axter equation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {308},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {281--301},
      ISSN = {0010-3616},
   MRCLASS = {82B23 (16T25)},
  MRNUMBER = {2851143},
MRREVIEWER = {Chengming Bai},
       DOI = {10.1007/s00220-011-1345-3},
       URL = {https://doi.org/10.1007/s00220-011-1345-3},
}

@article {BBF11b,
    AUTHOR = {Brubaker, B. and Bump, D. and Friedberg, S.},
     TITLE = {Weyl group multiple {D}irichlet series, {E}isenstein series
              and crystal bases},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {173},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {1081--1120},
      ISSN = {0003-486X},
   MRCLASS = {11F68 (11F30 11F70 11M32)},
  MRNUMBER = {2776371},
MRREVIEWER = {Anton Deitmar},
       DOI = {10.4007/annals.2011.173.2.13},
       URL = {https://doi.org/10.4007/annals.2011.173.2.13},
}

@article {Behrend08,
    AUTHOR = {Behrend, R. E.},
     TITLE = {Osculating paths and oscillating tableaux},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {15},
      YEAR = {2008},
    NUMBER = {1},
     PAGES = {Research Paper 7, 60},
   MRCLASS = {05A15 (05E10)},
  MRNUMBER = {2368912},
       URL = {http://www.combinatorics.org/Volume_15/Abstracts/v15i1r7.html},
}

@article{BG01,
 author               = {Braverman, Alexander and Gaitsgory, Dennis},
 coden                = {DUMJAO},
 doi                  = {10.1215/S0012-7094-01-10736-9},
 fjournal             = {Duke Mathematical Journal},
 issn                 = {0012-7094},
 journal              = {Duke Math. J.},
 mrclass              = {20G05 (14F05)},
 mrnumber             = {1828302 (2002e:20083)},
 mrreviewer           = {Andrew Mathas},
 number               = {3},
 pages                = {561--575},
 title                = {Crystals via the affine {G}rassmannian},
 url                  = {https://dx.doi.org/10.1215/S0012-7094-01-10736-9},
 volume               = {107},
 year                 = {2001},
 }

@article {BH95,
    AUTHOR = {Billey, Sara and Haiman, Mark},
     TITLE = {Schubert polynomials for the classical groups},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {8},
      YEAR = {1995},
    NUMBER = {2},
     PAGES = {443--482},
      ISSN = {0894-0347},
   MRCLASS = {05E15 (14M15)},
  MRNUMBER = {1290232},
       DOI = {10.2307/2152823},
       URL = {https://doi.org/10.2307/2152823},
}

@article {BFKL06,
    AUTHOR = {Benkart, Georgia and Frenkel, Igor and Kang, Seok-Jin and Lee,
              Hyeonmi},
     TITLE = {Level 1 perfect crystals and path realizations of basic
              representations at {$q=0$}},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices},
      YEAR = {2006},
     PAGES = {Art. ID 10312, 28},
      ISSN = {1073-7928},
   MRCLASS = {17B67 (17B37)},
  MRNUMBER = {2272099 (2007i:17030)},
MRREVIEWER = {Alistair Savage},
       DOI = {10.1155/IMRN/2006/10312},
       URL = {https://dx.doi.org/10.1155/IMRN/2006/10312},
}

@article {BK00,
    AUTHOR = {Berenstein, Arkady and Kazhdan, David},
     TITLE = {Geometric and unipotent crystals},
      NOTE = {GAFA 2000 (Tel Aviv, 1999)},
   JOURNAL = {Geom. Funct. Anal.},
  FJOURNAL = {Geometric and Functional Analysis},
      YEAR = {2000},
    NUMBER = {Special Volume, Part I},
     PAGES = {188--236},
      ISSN = {1016-443X},
     CODEN = {GFANFB},
   MRCLASS = {17B37 (14M15 22E47)},
  MRNUMBER = {1826254 (2003b:17013)},
MRREVIEWER = {Jonathan Brundan},
       DOI = {10.1007/978-3-0346-0422-2_8},
       URL = {https://dx.doi.org/10.1007/978-3-0346-0422-2_8},
}

@incollection {BK07,
    AUTHOR = {Berenstein, Arkady and Kazhdan, David},
     TITLE = {Geometric and unipotent crystals. {II}. {F}rom unipotent
              bicrystals to crystal bases},
 BOOKTITLE = {Quantum groups},
    SERIES = {Contemp. Math.},
    VOLUME = {433},
     PAGES = {13--88},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2007},
   MRCLASS = {17B37 (14L30 22E47)},
  MRNUMBER = {2349617 (2009b:17030)},
MRREVIEWER = {Jonathan Brundan},
       DOI = {10.1090/conm/433/08321},
       URL = {https://dx.doi.org/10.1090/conm/433/08321},
}

@article {BKSTY08,
    AUTHOR = {Buch, A. S. and Kresch, A. and Shimozono, M.
              and Tamvakis, H. and Yong, A.},
     TITLE = {Stable {G}rothendieck polynomials and {$K$}-theoretic factor
              sequences},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {340},
      YEAR = {2008},
    NUMBER = {2},
     PAGES = {359--382},
      ISSN = {0025-5831},
   MRCLASS = {05E15 (05E05 05E10 14M15)},
  MRNUMBER = {2368984},
MRREVIEWER = {Frank Sottile},
       DOI = {10.1007/s00208-007-0155-6},
       URL = {https://doi.org/10.1007/s00208-007-0155-6},
}

@article {BPS16,
    AUTHOR = {Bloom, Jonathan and Pechenik, Oliver and Saracino, Dan},
     TITLE = {Proofs and generalizations of a homomesy conjecture of {P}ropp
              and {R}oby},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {339},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {194--206},
      ISSN = {0012-365X},
   MRCLASS = {05E18 (06A07 20B25)},
  MRNUMBER = {3404481},
MRREVIEWER = {Konrad P. Pi\'oro},
       DOI = {10.1016/j.disc.2015.08.011},
       URL = {https://doi.org/10.1016/j.disc.2015.08.011},
}

@incollection{Brion04,
   author = {Brion, Mi.},
   title = {Lectures on the geometry of flag varieties},
   booktitle = {Topics in Cohomological Studies of Algebraic Varieties},
   year = {2004},
   pages = {33--85},
   publisher = {Birkh\"auser Boston},
   address = {Boston, MA},
   series = {Trends in Mathematics},
   doi = {10.1007/3-7643-7342-3_2},
   url = {https://doi.org/10.1007/3-7643-7342-3_2},
}

@article {BS16,
    AUTHOR = {Buch, A. S. and Samuel, M. J.},
     TITLE = {{$K$}-theory of minuscule varieties},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {719},
      YEAR = {2016},
     PAGES = {133--171},
      ISSN = {0075-4102},
   MRCLASS = {19E99 (14M15)},
  MRNUMBER = {3552494},
MRREVIEWER = {Thomas Benedict Williams},
       DOI = {10.1515/crelle-2014-0051},
       URL = {https://doi.org/10.1515/crelle-2014-0051},
}

@book {BS17,
    AUTHOR = {Bump, D. and Schilling, A.},
     TITLE = {Crystal bases},
      NOTE = {Representations and combinatorics},
 PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ},
      YEAR = {2017},
     PAGES = {xii+279},
      ISBN = {978-981-4733-44-1},
   MRCLASS = {05-01 (05E10 14T05 17B10)},
  MRNUMBER = {3642318},
       DOI = {10.1142/9876},
       URL = {https://dx.doi.org/10.1142/9876},
}

@article {BSS96,
    AUTHOR = {Benkart, Georgia and Sottile, Frank and Stroomer, Jeffrey},
     TITLE = {Tableau switching: algorithms and applications},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {76},
      YEAR = {1996},
    NUMBER = {1},
     PAGES = {11--43},
      ISSN = {0097-3165},
   MRCLASS = {05E10 (05E05)},
  MRNUMBER = {1405988},
MRREVIEWER = {Bernard Leclerc},
       DOI = {10.1006/jcta.1996.0086},
       URL = {https://doi.org/10.1006/jcta.1996.0086},
}

@article{BS20,
   author = {Buciumas, V. and Scrimshaw, T.},
   title = {Double {G}rothendieck polynomials and colored lattice models},
   year = {2020},
   journal = {Int. Math. Res. Not. IMRN},
   urlunused = {https://arxiv.org/abs/2007.04533},
   doi = {10.1093/imrn/rnaa327},
}

@article{BSW20,
   author = {Buciumas, V. and Scrimshaw, T. and Weber, Katherine},
   title = {Colored five-vertex models and {L}ascoux polynomials and atoms},
   year = {2020},
   journal = {J. Lond. Math. Soc.},
   volume = {102},
   number = {3},
   pages = {1047--1066},
   fjournal = {Journal of the London Mathematical Society. Second Series},
   urlunused = {https://arxiv.org/abs/1908.07364},
   doi = {10.1112/jlms.12347},
}

@article {Buch02,
    AUTHOR = {Buch, A. S.},
     TITLE = {A {L}ittlewood-{R}ichardson rule for the {$K$}-theory of
              {G}rassmannians},
   JOURNAL = {Acta Math.},
  FJOURNAL = {Acta Mathematica},
    VOLUME = {189},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {37--78},
      ISSN = {0001-5962},
     CODEN = {ACMAA8},
   MRCLASS = {14M15 (05E05 05E15)},
  MRNUMBER = {1946917},
MRREVIEWER = {Frank Sottile},
       DOI = {10.1007/BF02392644},
       URL = {https://dx.doi.org/10.1007/BF02392644},
}

@article {Borodin17,
    AUTHOR = {Borodin, A.},
     TITLE = {On a family of symmetric rational functions},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {306},
      YEAR = {2017},
     PAGES = {973--1018},
      ISSN = {0001-8708},
   MRCLASS = {82C22 (05E05 33C52 81P45)},
  MRNUMBER = {3581324},
       DOI = {10.1016/j.aim.2016.10.040},
       URL = {https://doi.org/10.1016/j.aim.2016.10.040},
}

@misc{BorodinWheelerColored,
   author = {A. Borodin and Michael W.},
   title = {Coloured stochastic vertex models and their spectral theory},
   year = {2018},
   urlunused = {https://arxiv.org/abs/1808.01866},
   eprint = {1808.01866},
   eprinttype = {arXiv},
}

@misc{BorodinWheelernsMac,
   author = {A. Borodin and Michael Wheeler},
   title = {Nonsymmetric {M}acdonald polynomials via integrable vertex models},
   year = {2019},
   urlunused = {https://arxiv.org/abs/1904.06804},
   eprint = {1904.06804},
   eprinttype = {arXiv},
}

@article{Cetal:10,
 author               = {Carbone, Lisa and Chung, Sjuvon and Cobbs, Leigh and McRae, Robert and Nandi, Debajyoti and Naqvi, Yusra and Penta, Diego},
 doi                  = {10.1088/1751-8113/43/15/155209},
 fjournal             = {Journal of Physics. A. Mathematical and Theoretical},
 issn                 = {1751-8113},
 journal              = {J. Phys. A},
 mrclass              = {17B22 (17B67 81R10)},
 mrnumber             = {2608277 (2011e:17014)},
 mrreviewer           = {Duncan J. Melville},
 number               = {15},
 pages                = {155209, 30},
 title                = {Classification of hyperbolic {D}ynkin diagrams, root lengths and {W}eyl group orbits},
 url                  = {https://dx.doi.org/10.1088/1751-8113/43/15/155209},
 volume               = {43},
 year                 = {2010},
 }

@article{CGP16,
   author = {Chmutov, Michael and Glick, Max and Pylyavskyy, Pavlo},
   title = {The {B}erenstein-{K}irillov group and cactus groups},
   journal = {J. Comb. Algebra},
   year = {2016},
   url = {https://arxiv.org/abs/1609.02046},
   note = {To appear},
}

@book {CPbook,
    AUTHOR = {Chari, Vyjayanthi and Pressley, Andrew},
     TITLE = {A guide to quantum groups},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1994},
     PAGES = {xvi+651},
      ISBN = {0-521-43305-3},
   MRCLASS = {17B37 (16W30 81R50)},
  MRNUMBER = {1300632},
MRREVIEWER = {Tomasz Brzezi\'{n}ski},
}

@incollection {CM07,
    AUTHOR = {Chari, Vyjayanthi and Moura, Adriano},
     TITLE = {Kirillov-{R}eshetikhin modules associated to {$G_2$}},
 BOOKTITLE = {Lie algebras, vertex operator algebras and their applications},
    SERIES = {Contemp. Math.},
    VOLUME = {442},
     PAGES = {41--59},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2007},
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MRREVIEWER = {Shaobin Tan},
       DOI = {10.1090/conm/442/08519},
       URL = {https://dx.doi.org/10.1090/conm/442/08519},
}

@misc{combinat,
 author               = {The {S}age-{C}ombinat community},
 note                 = {\url{https://combinat.sagemath.org}},
 title                = {{S}age-{C}ombinat: enhancing {S}age as a toolbox for computer exploration in algebraic combinatorics},
 year                 = {2008},
 }

@incollection{CP95,
    AUTHOR = {Chari, Vyjayanthi and Pressley, Andrew},
     TITLE = {Quantum affine algebras and their representations},
 BOOKTITLE = {Representations of groups ({B}anff, {AB}, 1994)},
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 PUBLISHER = {Amer. Math. Soc., Providence, RI},
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   MRCLASS = {17B37 (16W30 81R50)},
  MRNUMBER = {1357195 (96j:17009)},
MRREVIEWER = {Preeti Parashar},
}

@article{CP98,
    AUTHOR = {Chari, Vyjayanthi and Pressley, Andrew},
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      YEAR = {1998},
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     CODEN = {CMPHAY},
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  MRNUMBER = {1645027 (99f:16041)},
MRREVIEWER = {Wen-li Yang},
       DOI = {10.1007/s002200050431},
       URL = {https://dx.doi.org/10.1007/s002200050431},
}

@article {BorodinPetrov18,
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   JOURNAL = {Selecta Math. (N.S.)},
  FJOURNAL = {Selecta Mathematica. New Series},
    VOLUME = {24},
      YEAR = {2018},
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     PAGES = {751--874},
      ISSN = {1022-1824},
   MRCLASS = {60K35 (05E05 82B23)},
  MRNUMBER = {3782413},
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}


@article {CP16,
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@book {Davis08,
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   MRCLASS = {20F55 (05B45 05C25 51-02 57M07)},
  MRNUMBER = {2360474},
MRREVIEWER = {Ralf Koehl},
}

@article {Demazure74,
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@article {Demazure74II,
    AUTHOR = {Demazure, Michel},
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              occasion of his 70th birthday, I},
   JOURNAL = {Ann. Sci. \'{E}cole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme
              S\'{e}rie},
    VOLUME = {7},
      YEAR = {1974},
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   MRCLASS = {14M15 (20G05)},
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MRREVIEWER = {S. I. Gelfand},
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}

@article{DS06,
 author               = {Deka, Lipika and Schilling, A.},
 coden                = {JCBTA7},
 doi                  = {10.1016/j.jcta.2006.01.003},
 fjournal             = {Journal of Combinatorial Theory. Series A},
 issn                 = {0097-3165},
 journal              = {J. Combin. Theory Ser. A},
 mrclass              = {05E05 (17B37 81R10)},
 mrnumber             = {2259070 (2008g:05219)},
 mrreviewer           = {Hiro-Fumi Yamada},
 number               = {7},
 pages                = {1435--1461},
 title                = {New fermionic formula for unrestricted {K}ostka polynomials},
 url                  = {https://dx.doi.org/10.1016/j.jcta.2006.01.003},
 volume               = {113},
 year                 = {2006},
 }

@book {ECII,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}ol. 2},
    SERIES = {Cambridge Studies in Advanced Mathematics},
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      NOTE = {With a foreword by Gian-Carlo Rota and appendix 1 by S.
              Fomin},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1999},
     PAGES = {xii+581},
      ISBN = {0-521-56069-1; 0-521-78987-7},
   MRCLASS = {05A15 (05-02 05E05 05E10 68R05)},
  MRNUMBER = {1676282},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1017/CBO9780511609589},
       URL = {https://dx.doi.org/10.1017/CBO9780511609589},
}

@article {EG87,
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    NUMBER = {1},
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   MRCLASS = {05A17 (20B30 20C30)},
  MRNUMBER = {871081},
MRREVIEWER = {Joseph Kung},
       DOI = {10.1016/0001-8708(87)90063-6},
       URL = {https://doi.org/10.1016/0001-8708(87)90063-6},
}

@article {EKLP92,
    AUTHOR = {Elkies, Noam and Kuperberg, Greg and Larsen, Michael and
              Propp, James},
     TITLE = {Alternating-sign matrices and domino tilings. {II}},
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  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {1},
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    NUMBER = {3},
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      ISSN = {0925-9899},
   MRCLASS = {52C20 (05B50 15A99)},
  MRNUMBER = {1194076},
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       URL = {https://doi.org/10.1023/A:1022483817303},
}

@article{EV17,
    AUTHOR = {Espiro, J. Lorca and Volk, Luke},
     TITLE = {Crystals from 5-vertex ice models},
   JOURNAL = {J. Lie Theory},
  FJOURNAL = {Journal of Lie Theory},
    VOLUME = {28},
      YEAR = {2018},
    NUMBER = {4},
     PAGES = {1119--1136},
      ISSN = {0949-5932},
   MRCLASS = {17B37},
  MRNUMBER = {3863894},
}

@article {FG98,
    AUTHOR = {Fomin, S. and Greene, Curtis},
     TITLE = {Noncommutative {S}chur functions and their applications},
      NOTE = {Selected papers in honor of Adriano Garsia (Taormina, 1994)},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {193},
      YEAR = {1998},
    NUMBER = {1-3},
     PAGES = {179--200},
      ISSN = {0012-365X},
   MRCLASS = {05E05 (20C30)},
  MRNUMBER = {1661368},
MRREVIEWER = {Ernesto Vallejo},
       DOI = {10.1016/S0012-365X(98)00140-X},
       URL = {https://doi.org/10.1016/S0012-365X(98)00140-X},
}

@incollection {FK94,
    AUTHOR = {Fomin, S. and Kirillov, A. N.},
     TITLE = {Grothendieck polynomials and the {Y}ang-{B}axter equation},
 BOOKTITLE = {Formal power series and algebraic combinatorics/{S}\'eries
              formelles et combinatoire alg\'ebrique},
     PAGES = {183--189},
 PUBLISHER = {DIMACS, Piscataway, NJ},
      YEAR = {1994},
   MRCLASS = {05E05 (14N15)},
  MRNUMBER = {2307216},
}

@inproceedings {FK96,
    AUTHOR = {Fomin, S. and Kirillov, A. N.},
     TITLE = {The {Y}ang-{B}axter equation, symmetric functions, and
              {S}chubert polynomials},
 BOOKTITLE = {Proceedings of the 5th {C}onference on {F}ormal {P}ower
              {S}eries and {A}lgebraic {C}ombinatorics ({F}lorence, 1993)},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {153},
      YEAR = {1996},
    NUMBER = {1-3},
     PAGES = {123--143},
      ISSN = {0012-365X},
   MRCLASS = {05E05 (14C17 14M15 82B23)},
  MRNUMBER = {1394950},
MRREVIEWER = {Jean-Yves Thibon},
       DOI = {10.1016/0012-365X(95)00132-G},
       URL = {https://doi.org/10.1016/0012-365X(95)00132-G},
}

@article{FOS09,
 author               = {Fourier, Ghislain and Okado, Masato and Schilling, A.},
 coden                = {ADMTA4},
 doi                  = {10.1016/j.aim.2009.05.020},
 fjournal             = {Advances in Mathematics},
 issn                 = {0001-8708},
 journal              = {Adv. Math.},
 mrclass              = {17B37 (17B10 17B67)},
 mrnumber             = {2553378 (2010j:17028)},
 mrreviewer           = {Kailash C. Misra},
 number               = {3},
 pages                = {1080--1116},
 title                = {Kirillov-{R}eshetikhin crystals for nonexceptional types},
 url                  = {https://dx.doi.org/10.1016/j.aim.2009.05.020},
 volume               = {222},
 year                 = {2009},
 }

@article{FOS10,
    AUTHOR = {Fourier, Ghislain and Okado, Masato and Schilling, A.},
     TITLE = {Perfectness of {K}irillov-{R}eshetikhin crystals for
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 BOOKTITLE = {Quantum affine algebras, extended affine {L}ie algebras, and
              their applications},
    Journal = {Contemp. Math.},
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   MRCLASS = {17B37 (05E99)},
  MRNUMBER = {2642564 (2011b:17031)},
MRREVIEWER = {Jonathan Brundan},
       DOI = {10.1090/conm/506/09938},
       URL = {https://dx.doi.org/10.1090/conm/506/09938},
}

@article {FSS.2007,
    AUTHOR = {Fourier, Ghislain and Schilling, A. and Shimozono, Mark},
     TITLE = {Demazure structure inside {K}irillov-{R}eshetikhin crystals},
   JOURNAL = {J. Algebra},
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      YEAR = {2007},
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       DOI = {10.1016/j.jalgebra.2006.09.019},
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}

@book {Fulton,
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     PAGES = {x+260},
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@article {Fulton92,
    AUTHOR = {Fulton, W.},
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}

@book {FH91,
    AUTHOR = {Fulton, W. and Harris, Joe},
     TITLE = {Representation theory},
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    VOLUME = {129},
      NOTE = {A first course,
              Readings in Mathematics},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {1991},
     PAGES = {xvi+551},
      ISBN = {0-387-97527-6; 0-387-97495-4},
   MRCLASS = {20G05 (17B10 20G20 22E46)},
  MRNUMBER = {1153249},
MRREVIEWER = {James E. Humphreys},
       DOI = {10.1007/978-1-4612-0979-9},
       URL = {https://doi.org/10.1007/978-1-4612-0979-9},
}

@article {GMPPRST16,
    AUTHOR = {Gaetz, Christian and Mastrianni, Michelle and Patrias, Rebecca
              and Peck, Hailee and Robichaux, Colleen and Schwein, David and
              Tam, Ka Yu},
     TITLE = {{$K$}-{K}nuth equivalence for increasing tableaux},
   JOURNAL = {Electron. J. Combin.},
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    VOLUME = {23},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {Paper 1.40, 37},
      ISSN = {1077-8926},
   MRCLASS = {05E15 (05E05 05E10)},
  MRNUMBER = {3484745},
MRREVIEWER = {Riccardo Biagioli},
}

@article {Galashin17,
    AUTHOR = {Galashin, Pavel},
     TITLE = {A {L}ittlewood-{R}ichardson rule for dual stable
              {G}rothendieck polynomials},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {151},
      YEAR = {2017},
     PAGES = {23--35},
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   MRCLASS = {05E05},
  MRNUMBER = {3663486},
MRREVIEWER = {David J. Grabiner},
       DOI = {10.1016/j.jcta.2017.04.001},
       URL = {https://doi.org/10.1016/j.jcta.2017.04.001},
}

@article {GR13,
    AUTHOR = {Ganter, Nora and Ram, Arun},
     TITLE = {Generalized {S}chubert calculus},
   JOURNAL = {J. Ramanujan Math. Soc.},
  FJOURNAL = {Journal of the Ramanujan Mathematical Society},
    VOLUME = {28A},
      YEAR = {2013},
     PAGES = {149--190},
      ISSN = {0970-1249},
   MRCLASS = {14F43 (14M15 14N15)},
  MRNUMBER = {3115192},
MRREVIEWER = {Nicolas Perrin},
}

@unpublished { Gillespie,
 author = {Gillespie, Maria},
  title = {Variations on a Theme of {S}chubert Calculus},
   year = {2018},
    url = {https://arxiv.org/abs/1804.08164},
   note = {Preprint, \arxiv{1804.08164}},
 }

@article {GK17,
    AUTHOR = {Gorbounov, V. and Korff, C.},
     TITLE = {Quantum integrability and generalised quantum {S}chubert
              calculus},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {313},
      YEAR = {2017},
     PAGES = {282--356},
      ISSN = {0001-8708},
   MRCLASS = {14M15 (05E05 14F43 19L47 55N20 55N22 82B23)},
  MRNUMBER = {3649227},
       DOI = {10.1016/j.aim.2017.03.030},
       URL = {https://doi.org/10.1016/j.aim.2017.03.030},
}

@article {GK15,
    AUTHOR = {Graham, W. and Kreiman, V.},
     TITLE = {Excited {Y}oung diagrams, equivariant {$K$}-theory, and
              {S}chubert varieties},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {367},
      YEAR = {2015},
    NUMBER = {9},
     PAGES = {6597--6645},
      ISSN = {0002-9947},
   MRCLASS = {14M15 (05E15 19L47)},
  MRNUMBER = {3356949},
MRREVIEWER = {Justin Brown},
       DOI = {10.1090/S0002-9947-2015-06288-6},
       URL = {https://doi.org/10.1090/S0002-9947-2015-06288-6},
}

@article{GL05,
 author               = {Gaussent, S. and Littelmann, P.},
 coden                = {DUMJAO},
 doi                  = {10.1215/S0012-7094-04-12712-5},
 fjournal             = {Duke Mathematical Journal},
 issn                 = {0012-7094},
 journal              = {Duke Math. J.},
 mrclass              = {20G05 (14M15 17B10 22E46 51E24)},
 mrnumber             = {2126496 (2006c:20092)},
 mrreviewer           = {Guy Rousseau},
 number               = {1},
 pages                = {35--88},
 title                = {L{S} galleries, the path model, and {MV} cycles},
 url                  = {https://dx.doi.org/10.1215/S0012-7094-04-12712-5},
 volume               = {127},
 year                 = {2005},
 }

@unpublished{Gray17,
 author   = {Gray, Nathan},
 title    = {Metaplectic ice for {C}artan type {C}},
 year     = {2017},
 note     = {Preprint, \arxiv{1709.04971}},
 url      = {https://arxiv.org/abs/1709.04971},
}

@article {GV85,
    AUTHOR = {Gessel, Ira and Viennot, G\'erard},
     TITLE = {Binomial determinants, paths, and hook length formulae},
   JOURNAL = {Adv. in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {58},
      YEAR = {1985},
    NUMBER = {3},
     PAGES = {300--321},
      ISSN = {0001-8708},
   MRCLASS = {05A15 (05A19)},
  MRNUMBER = {815360},
MRREVIEWER = {S. Milne},
       DOI = {10.1016/0001-8708(85)90121-5},
}
 
 @article {Haiman92,
    AUTHOR = {Haiman, Mark D.},
     TITLE = {Dual equivalence with applications, including a conjecture of
              {P}roctor},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {99},
      YEAR = {1992},
    NUMBER = {1-3},
     PAGES = {79--113},
      ISSN = {0012-365X},
   MRCLASS = {05E10 (05E05 20F55)},
  MRNUMBER = {1158783},
MRREVIEWER = {Andrea Brini},
       DOI = {10.1016/0012-365X(92)90368-P},
       URL = {https://doi.org/10.1016/0012-365X(92)90368-P},
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@article{Hernandez10,
    AUTHOR = {Hernandez, David},
     TITLE = {Kirillov-{R}eshetikhin conjecture: the general case},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {149--193},
      ISSN = {1073-7928},
   MRCLASS = {17B37},
  MRNUMBER = {2576287 (2011c:17029)},
MRREVIEWER = {Xin Tang},
       DOI = {10.1093/imrn/rnp121},
       URL = {https://dx.doi.org/10.1093/imrn/rnp121},
}

@article {HIMN17,
    AUTHOR = {Hudson, T. and Ikeda, T. and Matsumura, T. and
              Naruse, H.},
     TITLE = {Degeneracy loci classes in {$K$}-theory---determinantal and
              {P}faffian formula},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {320},
      YEAR = {2017},
     PAGES = {115--156},
      ISSN = {0001-8708},
   MRCLASS = {19E20 (14M15 19D55)},
  MRNUMBER = {3709102},
MRREVIEWER = {Charles Weibel},
       DOI = {10.1016/j.aim.2017.08.038},
       URL = {https://doi.org/10.1016/j.aim.2017.08.038},
}

@book{HK02,
 address              = {Providence, RI},
 author               = {Hong, Jin and Kang, Seok-Jin},
 isbn                 = {0-8218-2874-6},
 mrclass              = {17B37 (05E15 81R50 82B23)},
 mrnumber             = {1881971 (2002m:17012)},
 mrreviewer           = {A. Schilling},
 pages                = {xviii+307},
 publisher            = {American Mathematical Society},
 series               = {Graduate Studies in Mathematics},
 title                = {Introduction to quantum groups and crystal bases},
 volume               = {42},
 year                 = {2002},
 }

@article{HK05,
    AUTHOR = {Hamel, A. and King, R.},
     TITLE = {U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics},
    VOLUME = {21},
      YEAR = {2005},
     PAGES = {395--421},
    NUMBER = {4},
}

@incollection{HKOTT02,
 address              = {Boston, MA},
 author               = {Hatayama, Goro and Kuniba, Atsuo and Okado, Masato and Takagi, Taichiro and Tsuboi, Zengo},
 booktitle            = {Math{P}hys odyssey, 2001},
 mrclass              = {17B37 (81R10 82B23)},
 mrnumber             = {1903978 (2003e:17020)},
 mrreviewer           = {A. Schilling},
 pages                = {205--272},
 publisher            = {Birkh\"auser Boston},
 series               = {Prog. Math. Phys.},
 title                = {Paths, crystals and fermionic formulae},
 volume               = {23},
 year                 = {2002},
 }

@incollection{HKOTY99,
 address              = {Providence, RI},
 author               = {Hatayama, G. and Kuniba, A. and Okado, M. and Takagi, T. and Yamada, Y.},
 booktitle            = {Recent developments in quantum affine algebras and related topics ({R}aleigh, {NC}, 1998)},
 doi                  = {10.1090/conm/248/03826},
 mrclass              = {81R50 (17B37 81R10 82B23)},
 mrnumber             = {1745263 (2001m:81129)},
 mrreviewer           = {Andrei G. Bytsko},
 pages                = {243--291},
 publisher            = {Amer. Math. Soc.},
 series               = {Contemp. Math.},
 title                = {Remarks on fermionic formula},
 url                  = {https://dx.doi.org/10.1090/conm/248/03826},
 volume               = {248},
 year                 = {1999},
}

@incollection{HKOTY02,
    AUTHOR = {Hatayama, G. and Kuniba, A. and Okado, M. and Takagi, T. and
              Yamada, Y.},
     TITLE = {Scattering rules in soliton cellular automata associated with
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 BOOKTITLE = {Recent developments in infinite-dimensional {L}ie algebras and
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    SERIES = {Contemp. Math.},
    VOLUME = {297},
     PAGES = {151--182},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
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  MRNUMBER = {1919817 (2003k:81104)},
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}

@article {HKZJ18,
 author    = {Halacheva, I. and Knutson, A. and Zinn-Justin, P.},
 title     = {Restricting {S}chubert classes to symplectic {G}rassmannians using self-dual puzzles},
 booktitle = {Proceedings of the 31st {C}onference on {F}ormal {P}ower
              {S}eries and {A}lgebraic {C}ombinatorics (Ljubljana)},
 journal   = {S\'{e}m. Lothar. Combin.},
 fjournal  = {S{\'e}minaire Lotharingien de Combinatoire},
 volume    = {82B},
 year      = {2019},
 pages     = {Art. 83, 12 pp.},
 url       = {https://arxiv.org/abs/1811.07581},
}

@article {HM18,
    AUTHOR = {Hudson, T. and Matsumura, T.},
     TITLE = {Vexillary degeneracy loci classes in {$K$}-theory and
              algebraic cobordism},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {70},
      YEAR = {2018},
     PAGES = {190--201},
      ISSN = {0195-6698},
   MRCLASS = {19E99 (14C35)},
  MRNUMBER = {3779613},
MRREVIEWER = {Claudio Pedrini},
       DOI = {10.1016/j.ejc.2018.01.001},
       URL = {https://doi.org/10.1016/j.ejc.2018.01.001},
}

@article{Hoshino05,
    AUTHOR = {Hoshino, A.},
     TITLE = {Polyhedral realizations of crystal bases for quantum algebras
              of finite types},
   JOURNAL = {J. Math. Phys.},
  FJOURNAL = {Journal of Mathematical Physics},
    VOLUME = {46},
      YEAR = {2005},
    NUMBER = {11},
     PAGES = {113514, 31},
      ISSN = {0022-2488},
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   MRCLASS = {17B37},
  MRNUMBER = {2186789},
MRREVIEWER = {Alistair Savage},
       DOI = {10.1063/1.2121308},
       URL = {https://dx.doi.org/10.1063/1.2121308},
}

@article{Hoshino13,
    AUTHOR = {Hoshino, A.},
     TITLE = {Polyhedral realizations of crystal bases for quantum algebras
              of classical affine types},
   JOURNAL = {J. Math. Phys.},
  FJOURNAL = {Journal of Mathematical Physics},
    VOLUME = {54},
      YEAR = {2013},
    NUMBER = {5},
     PAGES = {053511, 28},
      ISSN = {0022-2488},
   MRCLASS = {17B37},
  MRNUMBER = {3098949},
MRREVIEWER = {Katsuyuki Naoi},
       DOI = {10.1063/1.4805584},
       URL = {https://dx.doi.org/10.1063/1.4805584},
}

@article{HN05,
    AUTHOR = {Hoshino, Ayumu and Nakashima, Toshiki},
     TITLE = {Polyhedral realizations of crystal bases for modified quantum
              algebras of type {$A$}},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {33},
      YEAR = {2005},
    NUMBER = {7},
     PAGES = {2167--2191},
      ISSN = {0092-7872},
     CODEN = {COALDM},
   MRCLASS = {17B37 (17B67)},
  MRNUMBER = {2152733},
MRREVIEWER = {Hyeonmi Lee},
       DOI = {10.1081/AGB-200063532},
       URL = {https://dx.doi.org/10.1081/AGB-200063532},
}

@unpublished{HPW20,
 author   = {Hamaker, Z. and Pechenik, O. and Weigandt, A.},
 title    = {Gr{\"o}bner geometry of {S}chubert polynomials through ice},
 year     = {2020},
 note     = {Preprint, \arxiv{2003.13719}},
 url      = {https://arxiv.org/abs/2003.13719},
}

@article {Hudson14,
    AUTHOR = {Hudson, T.},
     TITLE = {A {T}hom-{P}orteous formula for connective {$K$}-theory using
              algebraic cobordism},
   JOURNAL = {J. K-Theory},
  FJOURNAL = {Journal of K-Theory. K-Theory and its Applications in Algebra,
              Geometry, Analysis \& Topology},
    VOLUME = {14},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {343--369},
      ISSN = {1865-2433},
       DOI = {10.1017/is014005031jkt266},
       URL = {https://doi.org/10.1017/is014005031jkt266},
}

@book {Humphreys90,
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    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {29},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1990},
     PAGES = {xii+204},
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@article {IIM17,
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   title = {Peterson isomorphism in {$K$}-theory and relativistic {T}oda lattice},
   year = {2018},
   JOURNAL = {Int. Math. Res. Not. IMRN},
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      NOTE = {To appear},
}

@article {IMN11,
    AUTHOR = {Ikeda, T. and Mihalcea, L. C. and Naruse, H.},
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  FJOURNAL = {Advances in Mathematics},
    VOLUME = {226},
      YEAR = {2011},
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   MRCLASS = {14N15 (05E15 14M15)},
  MRNUMBER = {2735777},
MRREVIEWER = {Li Li},
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       URL = {https://doi.org/10.1016/j.aim.2010.07.008},
}

@article {IN09,
    AUTHOR = {Ikeda, T. and Naruse, H.},
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  FJOURNAL = {Transactions of the American Mathematical Society},
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      YEAR = {2009},
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}

@article {IN13,
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   JOURNAL = {Adv. Math.},
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MRREVIEWER = {Li Li},
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       URL = {https://doi.org/10.1016/j.aim.2013.04.014},
}

@article {IS14,
    AUTHOR = {Ikeda, T. and Shimazaki, T.},
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   JOURNAL = {Math. Res. Lett.},
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      YEAR = {2014},
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   MRCLASS = {05E05 (14M15 19E08)},
  MRNUMBER = {3247060},
MRREVIEWER = {Michael Orin Joyce},
       DOI = {10.4310/MRL.2014.v21.n2.a10},
       URL = {https://doi.org/10.4310/MRL.2014.v21.n2.a10},
}

@incollection {Ivanov12,
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     TITLE = {Symplectic ice},
 BOOKTITLE = {Multiple {D}irichlet series, {L}-functions and automorphic
              forms},
    SERIES = {Progr. Math.},
    VOLUME = {300},
     PAGES = {205--222},
 PUBLISHER = {Birkh\"{a}user/Springer, New York},
      YEAR = {2012},
   MRCLASS = {11F68 (16T25 17B10)},
  MRNUMBER = {2952579},
MRREVIEWER = {Paul E. Gunnells},
       DOI = {10.1007/978-0-8176-8334-4_10},
       URL = {https://doi.org/10.1007/978-0-8176-8334-4_10},
}

@unpublished {Iwao19,
 author = {Iwao, Shinsuke},
  title = {Grothendieck polynomials and the boson-fermion correspondence},
   year = {2019},
    url = {https://arxiv.org/abs/1905.07692},
   note = {Preprint, \arxiv{1905.07692}},
 }

@article{JS10,
    AUTHOR = {Jones, Brant and Schilling, A.},
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   JOURNAL = {J. Algebra},
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    VOLUME = {324},
      YEAR = {2010},
    NUMBER = {9},
     PAGES = {2512--2542},
      ISSN = {0021-8693},
     CODEN = {JALGA4},
   MRCLASS = {17B37 (05E10)},
  MRNUMBER = {2684152 (2011f:17027)},
MRREVIEWER = {Jonathan Brundan},
       DOI = {10.1016/j.jalgebra.2010.07.041},
       URL = {https://dx.doi.org/10.1016/j.jalgebra.2010.07.041},
}

@incollection{JM85,
 address              = {Amsterdam},
 author               = {Jimbo, Michio and Miwa, Tetsuji},
 booktitle            = {Algebraic groups and related topics ({K}yoto/{N}agoya, 1983)},
 mrclass              = {17B67},
 mrnumber             = {803329 (87e:17019)},
 mrreviewer           = {Nigel B. Backhouse},
 pages                = {17--65},
 publisher            = {North-Holland},
 series               = {Adv. Stud. Pure Math.},
 title                = {On a duality of branching rules for affine {L}ie algebras},
 volume               = {6},
 year                 = {1985},
 }

@article {Kamnitzer07,
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     TITLE = {The crystal structure on the set of {M}irkovi\'c-{V}ilonen
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   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {215},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {66--93},
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     CODEN = {ADMTA4},
   MRCLASS = {17B37},
  MRNUMBER = {2354986 (2009a:17021)},
MRREVIEWER = {Jae-Hoon Kwon},
       DOI = {10.1016/j.aim.2007.03.012},
       URL = {https://dx.doi.org/10.1016/j.aim.2007.03.012},
}

@book{K02,
 address              = {Paris},
 author               = {Kashiwara, Masaki},
 isbn                 = {2-85629-126-0},
 mrclass              = {17B37 (05E25)},
 mrnumber             = {1997677 (2004g:17013)},
 mrreviewer           = {Peter Littelmann},
 note                 = {Edited by Charles Cochet},
 pages                = {viii+115},
 publisher            = {Soci\'et\'e Math\'ematique de France},
 series               = {Cours Sp\'ecialis\'es [Specialized Courses]},
 title                = {Bases cristallines des groupes quantiques},
 volume               = {9},
 year                 = {2002},
 }

@article{K90,
 author               = {Kashiwara, Masaki},
 coden                = {CMPHAY},
 fjournal             = {Communications in Mathematical Physics},
 issn                 = {0010-3616},
 journal              = {Comm. Math. Phys.},
 mrclass              = {17B37 (17B67)},
 mrnumber             = {1090425 (92b:17018)},
 mrreviewer           = {Kailash C. Misra},
 number               = {2},
 pages                = {249--260},
 title                = {Crystalizing the {$q$}-analogue of universal enveloping algebras},
 url                  = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104201397},
 volume               = {133},
 year                 = {1990},
 }

@article{K91,
 author               = {Kashiwara, Masaki},
 coden                = {DUMJAO},
 doi                  = {10.1215/S0012-7094-91-06321-0},
 fjournal             = {Duke Mathematical Journal},
 issn                 = {0012-7094},
 journal              = {Duke Math. J.},
 mrclass              = {17B37 (17B10 17B67)},
 mrnumber             = {1115118 (93b:17045)},
 mrreviewer           = {Kailash C. Misra},
 number               = {2},
 pages                = {465--516},
 title                = {On crystal bases of the $q$-analogue of universal enveloping algebras},
 url                  = {https://dx.doi.org/10.1215/S0012-7094-91-06321-0},
 volume               = {63},
 year                 = {1991},
 }

@article{K93,
 author               = {Kashiwara, Masaki},
 coden                = {DUMJAO},
 doi                  = {10.1215/S0012-7094-93-07131-1},
 fjournal             = {Duke Mathematical Journal},
 issn                 = {0012-7094},
 journal              = {Duke Math. J.},
 mrclass              = {17B37 (17B10 17B67)},
 mrnumber             = {1240605 (95b:17019)},
 mrreviewer           = {Kailash C. Misra},
 number               = {3},
 pages                = {839--858},
 title                = {The crystal base and {L}ittelmann's refined {D}emazure character formula},
 url                  = {https://dx.doi.org/10.1215/S0012-7094-93-07131-1},
 volume               = {71},
 year                 = {1993},
 }

@incollection{K95,
 address              = {Providence, RI},
 author               = {Kashiwara, Masaki},
 booktitle            = {Representations of groups ({B}anff, {AB}, 1994)},
 mrclass              = {17B37 (17B67 81R10 81R50)},
 mrnumber             = {1357199 (97a:17016)},
 mrreviewer           = {Kailash C. Misra},
 pages                = {155--197},
 publisher            = {Amer. Math. Soc.},
 series               = {CMS Conf. Proc.},
 title                = {On crystal bases},
 volume               = {16},
 year                 = {1995},
 }

@incollection{K96,
 address              = {Providence, RI},
 author               = {Kashiwara, Masaki},
 booktitle            = {Lie algebras and their representations ({S}eoul, 1995)},
 doi                  = {10.1090/conm/194/02393},
 mrclass              = {17B37 (17B10 17B67)},
 mrnumber             = {1395599 (97g:17013)},
 mrreviewer           = {Kailash C. Misra},
 pages                = {177--186},
 publisher            = {Amer. Math. Soc.},
 series               = {Contemp. Math.},
 title                = {Similarity of crystal bases},
 url                  = {https://dx.doi.org/10.1090/conm/194/02393},
 volume               = {194},
 year                 = {1996},
 }

@book{kac90,
 address              = {Cambridge},
 author               = {Kac, V. G.},
 doi                  = {10.1017/CBO9780511626234},
 edition              = {Third},
 isbn                 = {0-521-37215-1; 0-521-46693-8},
 mrclass              = {17B65 (17B67 17B68 58F07)},
 mrnumber             = {1104219 (92k:17038)},
 pages                = {xxii+400},
 publisher            = {Cambridge University Press},
 title                = {Infinite-dimensional {L}ie algebras},
 url                  = {https://dx.doi.org/10.1017/CBO9780511626234},
 year                 = {1990},
 }

@incollection {KL04,
    AUTHOR = {Kreiman, V. and Lakshmibai, V.},
     TITLE = {Multiplicities of singular points in {S}chubert varieties of
              {G}rassmannians},
 BOOKTITLE = {Algebra, arithmetic and geometry with applications ({W}est
              {L}afayette, {IN}, 2000)},
     PAGES = {553--563},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2004},
   MRCLASS = {14M15 (13D40)},
  MRNUMBER = {2037109},
MRREVIEWER = {Raika Dehy},
}

@article {Kleiman72,
    AUTHOR = {Kleiman, S. L. and Laksov, Dan},
     TITLE = {Schubert calculus},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {79},
      YEAR = {1972},
     PAGES = {1061--1082},
      ISSN = {0002-9890},
   MRCLASS = {14N10 (14M15)},
  MRNUMBER = {0323796},
MRREVIEWER = {Allen B. Altman},
       DOI = {10.2307/2317421},
       URL = {https://doi.org/10.2307/2317421},
}

@incollection {KKMMNN91,
    AUTHOR = {Kang, Seok-Jin and Kashiwara, Masaki and Misra, Kailash C. and
              Miwa, Tetsuji and Nakashima, Toshiki and Nakayashiki, Atsushi},
     TITLE = {Affine crystals and vertex models},
 BOOKTITLE = {Infinite analysis, {P}art {A}, {B} ({K}yoto, 1991)},
    SERIES = {Adv. Ser. Math. Phys.},
    VOLUME = {16},
     PAGES = {449--484},
 PUBLISHER = {World Sci. Publ., River Edge, NJ},
      YEAR = {1992},
   MRCLASS = {17B37 (17B67 81R10 82B23)},
  MRNUMBER = {1187560 (94a:17008)},
MRREVIEWER = {Peter J. Forrester},
}

@article {KKMMNN92,
    AUTHOR = {Kang, Seok-Jin and Kashiwara, Masaki and Misra, Kailash C. and
              Miwa, Tetsuji and Nakashima, Toshiki and Nakayashiki, Atsushi},
     TITLE = {Perfect crystals of quantum affine {L}ie algebras},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {68},
      YEAR = {1992},
    NUMBER = {3},
     PAGES = {499--607},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {17B37 (81R50 82B23)},
  MRNUMBER = {1194953 (94j:17013)},
MRREVIEWER = {Andrew Pressley},
       DOI = {10.1215/S0012-7094-92-06821-9},
       URL = {https://dx.doi.org/10.1215/S0012-7094-92-06821-9},
}

@article {KKR86,
    AUTHOR = {Kerov, S. V. and Kirillov, A. N. and Reshetikhin, N. Yu.},
     TITLE = {Combinatorics, the {B}ethe ansatz and representations of the
              symmetric group},
   JOURNAL = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.
              (LOMI)},
  FJOURNAL = {Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya
              Matematicheskogo Instituta imeni V. A. Steklova Akademii Nauk
              SSSR (LOMI)},
    VOLUME = {155},
      YEAR = {1986},
    NUMBER = {Differentsialnaya Geometriya, Gruppy Li i Mekh. VIII},
     PAGES = {50--64, 193},
      ISSN = {0373-2703},
   MRCLASS = {82A15 (05A17 20C30 81C40)},
  MRNUMBER = {869576 (88i:82021)},
MRREVIEWER = {Leonid Krop},
       DOI = {10.1007/BF01247087},
       URL = {https://dx.doi.org/10.1007/BF01247087},
}

@article {KM04,
    AUTHOR = {Knutson, A. and Miller, E.},
     TITLE = {Subword complexes in {C}oxeter groups},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {184},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {161--176},
      ISSN = {0001-8708},
   MRCLASS = {20F55 (05E05 05E15 05E25 13F55)},
  MRNUMBER = {2047852},
MRREVIEWER = {Jian-yi Shi},
       DOI = {10.1016/S0001-8708(03)00142-7},
       URL = {https://doi.org/10.1016/S0001-8708(03)00142-7},
}

@article {KM05,
    AUTHOR = {Knutson, A. and Miller, E.},
     TITLE = {Gr\"{o}bner geometry of {S}chubert polynomials},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {161},
      YEAR = {2005},
    NUMBER = {3},
     PAGES = {1245--1318},
      ISSN = {0003-486X},
   MRCLASS = {05E15 (13C40 13F55 13P10 14M15 14N15)},
  MRNUMBER = {2180402},
MRREVIEWER = {Harry Tamvakis},
       DOI = {10.4007/annals.2005.161.1245},
       URL = {https://doi.org/10.4007/annals.2005.161.1245},
}

@article {KMY09,
    AUTHOR = {Knutson, A. and Miller, E. and Yong, A.},
     TITLE = {Gr\"obner geometry of vertex decompositions and of flagged
              tableaux},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {630},
      YEAR = {2009},
     PAGES = {1--31},
      ISSN = {0075-4102},
   MRCLASS = {13C40 (05E05 13F55 14M12)},
  MRNUMBER = {2526784},
MRREVIEWER = {Harry Tamvakis},
       DOI = {10.1515/CRELLE.2009.033},
       URL = {https://doi.org/10.1515/CRELLE.2009.033},
}

@unpublished{KZJ17,
 author   = {Knutson, A. and Zinn-Justin, P.},
 title    = {Schubert puzzles and integrability {I}: invariant trilinear forms},
 year     = {2017},
 note     = {Preprint, \arxiv{1706.10019}},
 url      = {https://arxiv.org/abs/1706.10019},
}

@book {Kane01,
    AUTHOR = {Kane, Richard},
     TITLE = {Reflection groups and invariant theory},
    SERIES = {CMS Books in Mathematics/Ouvrages de Math\'ematiques de la SMC},
    VOLUME = {5},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {2001},
     PAGES = {x+379},
      ISBN = {0-387-98979-X},
   MRCLASS = {20F55 (13A50 17B20 20H15 51F15)},
  MRNUMBER = {1838580},
MRREVIEWER = {Stephen P. Humphries},
       DOI = {10.1007/978-1-4757-3542-0},
       URL = {https://doi.org/10.1007/978-1-4757-3542-0},
}

@article{KKS07,
    AUTHOR = {Kang, Seok-Jin and Kim, Jeong-Ah and Shin, Dong-Uy},
     TITLE = {Modified {N}akajima monomials and the crystal {$B(\infty)$}},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {308},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {524--535},
      ISSN = {0021-8693},
     CODEN = {JALGA4},
   MRCLASS = {17B37},
  MRNUMBER = {2295073},
MRREVIEWER = {Jae-Hoon Kwon},
       DOI = {10.1016/j.jalgebra.2006.09.022},
       URL = {https://dx.doi.org/10.1016/j.jalgebra.2006.09.022},
}

@article{KM94,
 author               = {Kang, Seok-Jin and Misra, Kailash C.},
 coden                = {JALGA4},
 doi                  = {10.1006/jabr.1994.1037},
 fjournal             = {Journal of Algebra},
 issn                 = {0021-8693},
 journal              = {J. Algebra},
 mrclass              = {17B37 (17B10)},
 mrnumber             = {1265857 (95f:17013)},
 mrreviewer           = {Nicol{\'a}s Andruskiewitsch},
 number               = {3},
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 author               = {Lenart, Cristian and Postnikov, Alexander},
 doi                  = {10.1093/imrn/rnm038},
 fjournal             = {International Mathematics Research Notices. IMRN},
 issn                 = {1073-7928},
 journal              = {Int. Math. Res. Not. IMRN},
 mrclass              = {14N15 (14M15 19L47 20F55)},
 mrnumber             = {2344548 (2008j:14105)},
 mrreviewer           = {Matthieu Willems},
 number               = {12},
 pages                = {Art. ID rnm038, 65},
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 year                 = {2007},
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@article{LP08,
 author               = {Lenart, Cristian and Postnikov, Alexander},
 coden                = {TAMTAM},
 doi                  = {10.1090/S0002-9947-08-04419-X},
 fjournal             = {Transactions of the American Mathematical Society},
 issn                 = {0002-9947},
 journal              = {Trans. Amer. Math. Soc.},
 mrclass              = {17B67 (20G42)},
 mrnumber             = {2395176 (2010a:17037)},
 number               = {8},
 pages                = {4349--4381},
 title                = {A combinatorial model for crystals of {K}ac-{M}oody algebras},
 url                  = {https://dx.doi.org/10.1090/S0002-9947-08-04419-X},
 volume               = {360},
 year                 = {2008},
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@incollection{LNSSS13,
    AUTHOR = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and
              Schilling, A. and Shimozono, Mark},
     TITLE = {A uniform model for {K}irillov-{R}eshetikhin crystals},
 BOOKTITLE = {25th {I}nternational {C}onference on {F}ormal {P}ower {S}eries
              and {A}lgebraic {C}ombinatorics ({FPSAC} 2013)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AS},
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 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
      YEAR = {2013},
   MRCLASS = {05E15},
  MRNUMBER = {3090977},
}

@article{LNSSS14,
    AUTHOR = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and
              Schilling, A. and Shimozono, Mark},
     TITLE = {A uniform model for {K}irillov-{R}eshetikhin crystals {I}:
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      ISSN = {1073-7928},
   MRCLASS = {05E15 (17B22 20F55)},
  MRNUMBER = {3335235},
MRREVIEWER = {Kyungyong Lee},
       DOI = {10.1093/imrn/rnt263},
       URL = {https://dx.doi.org/10.1093/imrn/rnt263},
}

@article{LNSSS14II,
  author              = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and Schilling, A. and Shimozono, Mark},
  title               = {A uniform model for {K}irillov-{R}eshetikhin crystals {II}. {A}lcove model, path model, and {$P=X$}},
  journal             = {Int. Math. Res. Not. IMRN},
  doi                 = {10.1093/imrn/rnw129},
  url                 = {https://arxiv.org/abs/1402.2203},
  year                = {2016},
}

@article{LNSSS15,
  author              = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and Schilling, A. and Shimozono, Mark},
  title               = {A uniform model for {K}irillov-{R}eshetikhin crystals {III}: {N}onsymmetric {M}acdonald polynomials at {$t=0$} and {D}emazure characters},
  journal             = {Transform. Groups},
  fjournal            = {Transformation Groups},
  url                 = {https://arxiv.org/abs/1511.00465},
  doi                 = {10.1007/s00031-017-9421-1},
  pages               = {1--39},
  year                = {2017},
}

@article{LNSSS16,
  author              = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and Schilling, A. and Shimozono, Mark},
  title               = {Quantum {L}akshmibai-{S}eshadri paths and root operators},
  url                 = {https://arxiv.org/abs/1308.3529},
  journal             = {Advanced Studies in Pure Math.},
  volume              = {71},
  pages               = {267--294},
  year                = {2016},
}

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@article{LS12,
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 coden                = {JCBTA7},
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 fjournal             = {Journal of Combinatorial Theory. Series A},
 issn                 = {0097-3165},
 journal              = {J. Combin. Theory Ser. A},
 mrclass              = {05E10 (05A15 17B37 52B12 81R50)},
 mrnumber             = {2891384},
 mrreviewer           = {Hyeonmi Lee},
 number               = {5},
 pages                = {1081--1094},
 title                = {A combinatorial description of the {G}indikin-{K}arpelevich formula in type {$A$}},
 url                  = {https://dx.doi.org/10.1016/j.jcta.2012.01.011},
 volume               = {119},
 year                 = {2012},
 }

@article{LS14,
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}

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@article {MMO10,
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@unpublished{Monical16,
 author = {Monical, C.},
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}

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              factorial {G}rothendieck polynomials},
   JOURNAL = {Nuclear Phys. B},
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              Experimental High Energy Physics. Quantum Field Theory and
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@article {MPS18,
 author   = {Monical, C. and Pechenik, O. and Scrimshaw, T.},
 title    = {Crystal structures for symmetric {G}rothendieck polynomials},
 year     = {2020},
 journal  = {Transform. Groups},
 fjournal = {Transformation Groups},
 note     = {To appear},
 url      = {https://arxiv.org/abs/1807.03294},
 doi      = {10.1007/s00031-020-09623-y},
}

@article{MPS18II,
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     note = {To appear},
      doi = {10.4153/S0008414X19000464},
}

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@article {MS16,
    AUTHOR = {Morse, Jennifer and Schilling, A.},
     TITLE = {Crystal approach to affine {S}chubert calculus},
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  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2016},
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   MRCLASS = {14M15 (14N35)},
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}

@incollection {MS19,
 author = {Matsumura, T. and Sugimoto, S.},
  title = {Factorial flagged {G}rothendieck poylnomials},
  booktitle = {Proceedings of the conference ``{A}n international festival in
               {S}chubert {C}alculus'' held in {G}uangzhou in {N}ovember 2017},
   note = {To appear},
   year = {2020},
    urlunused = {https://arxiv.org/abs/1903.02169},
    eprint = {1903.02169},
    eprinttype = {arXiv},
 publisher = {Springer, New York},
 series = {Springer Proceedings in Mathematics {\&} Statistics},
}


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@article{OS08,
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  FJOURNAL = {Representation Theory. An Electronic Journal of the American
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@article {OS10,
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     TITLE = {Combinatorial {$R$}-matrices for {K}irillov-{R}eshetikhin
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@incollection {OS12,
    AUTHOR = {Okado, Masato and Sano, Nobumasa},
     TITLE = {K{KR} type bijection for the exceptional affine algebra {$E_6^{(1)}$}},
 BOOKTITLE = {Algebraic groups and quantum groups},
    SERIES = {Contemp. Math.},
    VOLUME = {565},
     PAGES = {227--242},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2012},
   MRCLASS = {17B37 (05C38 17B25)},
  MRNUMBER = {2932429},
MRREVIEWER = {Hiro-Fumi Yamada},
       DOI = {10.1090/conm/565/11181},
       URL = {https://dx.doi.org/10.1090/conm/565/11181},
}

@incollection{OSS03,
 author               = {Okado, Masato and Schilling, A. and Shimozono, Mark},
 booktitle            = {Algebraic combinatorics and quantum groups},
 doi                  = {10.1142/9789812775405_0005},
 mrclass              = {17B37 (05A19 05A30 05E15)},
 mrnumber             = {2035131 (2005b:17037)},
 mrreviewer           = {Jae-Hoon Kwon},
 pages                = {85--124},
 publisher            = {World Sci. Publ., River Edge, NJ},
 title                = {A crystal to rigged configuration bijection for nonexceptional affine algebras},
 url                  = {https://dx.doi.org/10.1142/9789812775405_0005},
 year                 = {2003},
 }

@article{OSS03II,
 author               = {Okado, Masato and Schilling, A. and Shimozono, Mark},
 coden                = {CMPHAY},
 fjournal             = {Communications in Mathematical Physics},
 issn                 = {0010-3616},
 journal              = {Comm. Math. Phys.},
 mrclass              = {17B37 (81R50)},
 mrnumber             = {1989674 (2004c:17034)},
 mrreviewer           = {{\c{S}}erban Raianu},
 number               = {1-2},
 pages                = {187--209},
 title                = {Virtual crystals and {K}leber's algorithm},
 volume               = {238},
 year                 = {2003},
 }

@article{OSS03III,
 author               = {Okado, Masato and Schilling, A. and Shimozono, Mark},
 doi                  = {10.1090/S1088-4165-03-00155-9},
 fjournal             = {Representation Theory. An Electronic Journal of the American Mathematical Society},
 issn                 = {1088-4165},
 journal              = {Represent. Theory},
 mrclass              = {17B37 (05A30 81R10 81R50)},
 mrnumber             = {1973369 (2004f:17023)},
 mrreviewer           = {Jae-Hoon Kwon},
 pages                = {101--163 (electronic)},
 title                = {Virtual crystals and fermionic formulas of type {$D^{(2)}_{n+1},A^{(2)}_{2n}$}, and {$C^{(1)}_n$}},
 url                  = {https://dx.doi.org/10.1090/S1088-4165-03-00155-9},
 volume               = {7},
 year                 = {2003},
 }

@article{OSS13,
 author               = {Okado, Masato and Sakamoto, Reiho and Schilling, A.},
 coden                = {JAOME7},
 doi                  = {10.1007/s10801-012-0383-z},
 fjournal             = {Journal of Algebraic Combinatorics. An International Journal},
 issn                 = {0925-9899},
 journal              = {J. Algebraic Combin.},
 mrclass              = {17B37 (05E10)},
 mrnumber             = {3035517},
 number               = {3},
 pages                = {571--599},
 title                = {Affine crystal structure on rigged configurations of type {$D_n^{(1)}$}},
 url                  = {https://dx.doi.org/10.1007/s10801-012-0383-z},
 volume               = {37},
 year                 = {2013},
 }

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@article{PS18,
 AUTHOR = {Pechenik, Oliver and Searles, Dominic},
 title = {Decompositions of {G}rothendieck polynomials},
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 volume = {2019},
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}

@unpublished{PS19,
 author   = {Pechenik, Oliver and Scrimshaw, T.},
 title    = {K-theoretic crystals for set-valued tableaux of rectangular shapes},
 year     = {2019},
 note     = {Preprint, \arxiv{1904.09674}},
 url      = {https://arxiv.org/abs/1904.09674},
}

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@unpublished {PY18,
 author = {Pylyavskyy, Pavlo and Yang, Jed},
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 }

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@unpublished{RY17,
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.