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@article {BLvexillary,
    AUTHOR = {Billey, Sara and Lam, Tao Kai},
     TITLE = {Vexillary elements in the hyperoctahedral group},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {8},
      YEAR = {1998},
    NUMBER = {2},
     PAGES = {139--152},
      ISSN = {0925-9899},
   MRCLASS = {05E05 (05E15 20F10)},
  MRNUMBER = {1648468},
MRREVIEWER = {Witold Kra\'{s}kiewicz},
       DOI = {10.1023/A:1008633710118},
       URL = {https://doi.org/10.1023/A:1008633710118},
}

@article {BalancedTableaux,
    AUTHOR = {Edelman, Paul and Greene, Curtis},
     TITLE = {Balanced tableaux},
   JOURNAL = {Adv. in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {63},
      YEAR = {1987},
    NUMBER = {1},
     PAGES = {42--99},
      ISSN = {0001-8708},
   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},
}

@book {Hamakerthesis,
    AUTHOR = {Hamaker, Zachary},
     TITLE = {Bijective combinatorics of reduced decompositions},
      NOTE = {Thesis (Ph.D.)--Dartmouth College},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {2014},
     PAGES = {122},
      ISBN = {978-1321-16235-6},
   MRCLASS = {Thesis},
  MRNUMBER = {3279147},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3635255},
}

@book {Lam1995thesis,
    AUTHOR = {Lam, Tao Kai},
     TITLE = {B and {D} analogues of stable {S}chubert polynomials and
              related insertion algorithms},
      NOTE = {Thesis (Ph.D.)--Massachusetts Institute of Technology},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1995},
     PAGES = {(no paging)},
   MRCLASS = {Thesis},
  MRNUMBER = {2716557},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0576170},
}

@inproceedings {Lam96,
    AUTHOR = {Lam, Tao Kai},
     TITLE = {{$B_n$} {S}tanley symmetric functions},
 BOOKTITLE = {Proceedings of the 6th {C}onference on {F}ormal {P}ower
              {S}eries and {A}lgebraic {C}ombinatorics ({N}ew {B}runswick,
              {NJ}, 1994)},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {157},
      YEAR = {1996},
    NUMBER = {1-3},
     PAGES = {241--270},
      ISSN = {0012-365X},
   MRCLASS = {05E05 (05E15)},
  MRNUMBER = {1417298},
MRREVIEWER = {Ang\`ele M. Hamel},
       DOI = {10.1016/S0012-365X(96)83018-4},
       URL = {https://doi.org/10.1016/S0012-365X(96)83018-4},
}

@book {humphreys,
    AUTHOR = {Humphreys, James E.},
     TITLE = {Reflection groups and {C}oxeter groups},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {29},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1990},
     PAGES = {xii+204},
      ISBN = {0-521-37510-X},
   MRCLASS = {20-02 (20F32 20F55 20G15 20H15)},
  MRNUMBER = {1066460},
MRREVIEWER = {Louis Solomon},
       DOI = {10.1017/CBO9780511623646},
       URL = {https://doi.org/10.1017/CBO9780511623646},
}

@article {K89,
    AUTHOR = {Kra\'{s}kiewicz, Witold},
     TITLE = {Reduced decompositions in hyperoctahedral groups},
   JOURNAL = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie I.
              Math\'{e}matique},
    VOLUME = {309},
      YEAR = {1989},
    NUMBER = {16},
     PAGES = {903--907},
      ISSN = {0764-4442},
   MRCLASS = {05A15 (20C30 68R05)},
  MRNUMBER = {1055219},
MRREVIEWER = {Joseph Kung},
}
@article {K95,
    AUTHOR = {Kra\'{s}kiewicz, Witold},
     TITLE = {Reduced decompositions in {W}eyl groups},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {16},
      YEAR = {1995},
    NUMBER = {3},
     PAGES = {293--313},
      ISSN = {0195-6698},
   MRCLASS = {05E15 (20C30)},
  MRNUMBER = {1330543},
MRREVIEWER = {Bernard Leclerc},
       DOI = {10.1016/0195-6698(95)90033-0},
       URL = {https://doi.org/10.1016/0195-6698(95)90033-0},
}

@article {Thrall,
    AUTHOR = {Thrall, Robert M.},
     TITLE = {A combinatorial problem},
   JOURNAL = {Michigan Math. J.},
  FJOURNAL = {Michigan Mathematical Journal},
    VOLUME = {1},
      YEAR = {1952},
     PAGES = {81--88},
      ISSN = {0026-2285},
   MRCLASS = {09.0X},
  MRNUMBER = {49844},
MRREVIEWER = {J. Riguet},
       URL = {http://projecteuclid.org/euclid.mmj/1028989731},
}

@incollection {bjorner1984orderings,
    AUTHOR = {Bj\"{o}rner, Anders},
     TITLE = {Orderings of {C}oxeter groups},
 BOOKTITLE = {Combinatorics and algebra ({B}oulder, {C}olo., 1983)},
    SERIES = {Contemp. Math.},
    VOLUME = {34},
     PAGES = {175--195},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1984},
   MRCLASS = {05A99 (06F15 14M15 20H15 52A25)},
  MRNUMBER = {777701},
MRREVIEWER = {Robert A. Proctor},
       DOI = {10.1090/conm/034/777701},
       URL = {https://doi.org/10.1090/conm/034/777701},
}

@article {stanley1984number,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {On the number of reduced decompositions of elements of
              {C}oxeter groups},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {5},
      YEAR = {1984},
    NUMBER = {4},
     PAGES = {359--372},
      ISSN = {0195-6698},
   MRCLASS = {05A15 (17B10 20F10)},
  MRNUMBER = {782057},
MRREVIEWER = {Robert A. Proctor},
       DOI = {10.1016/S0195-6698(84)80039-6},
       URL = {https://doi.org/10.1016/S0195-6698(84)80039-6},
}

@book {WorleyThesis,
    AUTHOR = {Worley, Dale Raymond},
     TITLE = {A theory of shifted {Y}oung tableaux},
      NOTE = {Thesis (Ph.D.)--Massachusetts Institute of Technology},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1984},
     PAGES = {(no paging)},
   MRCLASS = {Thesis},
  MRNUMBER = {2941073},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0373556},
}

@article {sagan1987shifted,
    AUTHOR = {Sagan, Bruce E.},
     TITLE = {Shifted tableaux, {S}chur {$Q$}-functions, and a conjecture of
              {R}. {S}tanley},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {45},
      YEAR = {1987},
    NUMBER = {1},
     PAGES = {62--103},
      ISSN = {0097-3165},
   MRCLASS = {05A17 (05-04 20B30 20C30)},
  MRNUMBER = {883894},
MRREVIEWER = {Joseph Kung},
       DOI = {10.1016/0097-3165(87)90047-1},
       URL = {https://doi.org/10.1016/0097-3165(87)90047-1},
}

@article {fomin1997balanced,
    AUTHOR = {Fomin, Sergey and Greene, Curtis and Reiner, Victor and
              Shimozono, Mark},
     TITLE = {Balanced labellings and {S}chubert polynomials},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {18},
      YEAR = {1997},
    NUMBER = {4},
     PAGES = {373--389},
      ISSN = {0195-6698},
   MRCLASS = {05E10 (05E05 05E15)},
  MRNUMBER = {1444248},
MRREVIEWER = {Witold Kra\'{s}kiewicz},
       DOI = {10.1006/eujc.1996.0109},
       URL = {https://doi.org/10.1006/eujc.1996.0109},
}


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