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@article{BZ-1,
	Author = {A. Berenstein and A. Zelevinsky},
	Doi = {10.1016/0393-0440(88)90033-2},
	Fjournal = {Journal of Geometry and Physics},
	Journal = {J. of Geom. and Physics},
	Number = {3},
	Pages = {453--472},
	Title = {Tensor product multiplicities and convex polytopes in partition space},
	Volume = {5},
	Year = {1988},
	Bdsk-Url-1 = {https://doi.org/10.1016/0393-0440(88)90033-2}}

@article{BZ-2,
	Author = {A. Berenstein and A. Zelevinsky},
	Fjournal = {Advances in Soviet Mathematics},
	Journal = {Adv. in Soviet Math.},
	Number = {1},
	Pages = {51--89},
	Title = {String bases for quantum groups of type $A_r$},
	Volume = {16},
	Year = {1993}}

@article{BZ-3,
	Author = {A. Berenstein and A. Zelevinsky},
	Doi = {10.1007/s002220000102},
	Fjournal = {Inventiones mathematicae},
	Journal = {Invent. Math.},
	Number = {1},
	Pages = {77--128},
	Title = {Tensor product multiplicities, canonical bases and totally positive varieties},
	Volume = {143},
	Year = {2001},
	Bdsk-Url-1 = {https://doi.org/10.1007/s002220000102}}

@article{B,
	Author = {W. H. Burge},
	Doi = {10.1016/0097-3165(74)90024-7},
	Fjournal = {Journal of Combinatorial Theory, Series A},
	Journal = {J. Combin. Theory Ser. A},
	Number = {1},
	Pages = {12--30},
	Title = {Four correspondences between graphs and generalized Young tableaux},
	Volume = {17},
	Year = {1974},
	Bdsk-Url-1 = {https://doi.org/10.1016/0097-3165(74)90024-7}}

@article{FOS,
	Author = {G. Fourier and M. Okado and A. Schilling},
	Date-Modified = {2019-04-18 15:40:33 +1000},
	Doi = {10.1016/j.aim.2009.05.020},
	Fjournal = {Advances in Mathematics},
	Journal = {Adv. Math.},
	Number = {3},
	Pages = {1080--1116},
	Title = {Kirillov-Reshetikhin crystals for nonexceptional types},
	Volume = {222},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2009.05.020}}

@incollection{FOS2,
	Author = {G. Fourier and M. Okado and A. Schilling},
	Booktitle = {Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications},
	Date-Modified = {2019-04-18 15:47:31 +1000},
	Doi = {10.1090/conm/506},
	Fjournal = {Contemporary Mathematics},
	Journal = {Contemp. Math.},
	Number = {506},
	Pages = {127--143},
	Publisher = {American Mathematical Society},
	Series = {Contemporary Mathematics},
	Title = {Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1090/conm/506}}

@article{Ful,
	Author = {W. Fulton},
	Date-Modified = {2019-04-18 15:48:07 +1000},
	Fjournal = {Cambridge University Press},
	Journal = {Cambridge Univ. Press},
	Title = {Young Tableaux, with Application to Representation Theory and Geometry},
	Year = {1997}}

@article{G,
	Author = {C. Greene},
	Doi = {10.1016/j.aim.2009.05.020},
	Fjournal = {Advances in Mathematics},
	Journal = {Adv. Math.},
	Number = {2},
	Pages = {254--265},
	Title = {An extension of Schensted's theorem},
	Volume = {14},
	Year = {1974},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2009.05.020}}

@book{HK,
	Author = {J. Hong and S.-J Kang},
	Date-Modified = {2019-04-18 15:47:10 +1000},
	Doi = {10.1090/gsm/042},
	Fjournal = {American Mathematical Society},
	Journal = {Amer. Math. Soc.},
	Number = {42},
	Publisher = {American Mathematical Society},
	Series = {Graduate Studies in Mathematics},
	Title = {Introduction to Quantum Groups and Crystal Bases},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1090/gsm/042}}

@article{H,
	Author = {R. Howe},
	Doi = {10.1090/S0002-9947-1989-0986027-X},
	Fjournal = {TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {539--570},
	Title = {Remarks on classical invariant theory},
	Volume = {313},
	Year = {1989},
	Bdsk-Url-1 = {https://doi.org/10.1090/S0002-9947-1989-0986027-X}}

@article{K,
	Author = {V.~Kac},
	Fjournal = {Cambridge University Press},
	Journal = {Cambridge Univ. Press},
	Title = {Infinite-dimensional Lie algebras, {\em Third edition}},
	Year = {1990}}

@article{Kas91,
	Author = {M. Kashiwara},
	Doi = {10.1215/S0012-7094-91-06321-0},
	Fjournal = {Duke Mathematical Journal},
	Journal = {Duke Math. J.},
	Pages = {465--516},
	Title = {On crystal bases of the $q$-analogue of universal enveloping algebras},
	Volume = {63},
	Year = {1991},
	Bdsk-Url-1 = {https://doi.org/10.1215/S0012-7094-91-06321-0}}

@article{Kas93,
	Author = {M. Kashiwara},
	Doi = {10.1215/S0012-7094-93-07131-1},
	Fjournal = {Duke Mathematical Journal},
	Journal = {Duke Math. J.},
	Pages = {839--858},
	Title = {The crystal base and Littelmann's refined Demazure character formula},
	Volume = {71},
	Year = {1993},
	Bdsk-Url-1 = {https://doi.org/10.1215/S0012-7094-93-07131-1}}

@article{Kas95,
	Author = {M. Kashiwara},
	Journal = {CMS Conf. Proc.},
	Pages = {155--197},
	Title = {On crystal bases},
	Volume = {16},
	Year = {1995}}

@article{Kas96,
	Author = {M. Kashiwara},
	Fjournal = {Contemporary Mathematics},
	Journal = {Contemp. Math.},
	Pages = {177--186},
	Title = {Similarity of crystal bases},
	Volume = {194},
	Year = {1996}}

@article{KN,
	Author = {M. Kashiwara and T. Nakashima},
	Doi = {10.1006/jabr.1994.1114},
	Fjournal = {Journal of Algebra},
	Journal = {J. Algebra},
	Pages = {295--345},
	Title = {Crystal graphs for representations of the $q$-analogue of classical Lie algebras},
	Volume = {165},
	Year = {1994},
	Bdsk-Url-1 = {https://doi.org/10.1006/jabr.1994.1114}}

@article{Ki,
	Author = {Y. Kimura},
	Doi = {10.1215/21562261-1550976},
	Fjournal = {Kyoto Journal of Mathematics},
	Journal = {Kyoto J. Math.},
	Pages = {277--331},
	Title = {Quantum unipotent subgroup and dual canonical basis},
	Volume = {52},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1215/21562261-1550976}}

@article{K09,
	Author = {J.-H. Kwon},
	Doi = {10.1016/j.jalgebra.2009.04.034},
	Fjournal = {Journal of Algebra},
	Journal = {J. Algebra},
	Pages = {2150--2179},
	Title = {Demazure crystals of generalized Verma modules and a flagged RSK correspondence},
	Volume = {322},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jalgebra.2009.04.034}}

@article{K13,
	Author = {J.-H. Kwon},
	Doi = {10.1016/j.jcta.2012.09.003},
	Fjournal = {Journal of Combinatorial Theory, Series A},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {433--452},
	Title = {RSK correspondence and classically irreducible Kirillov-Reshetikhin crystals},
	Volume = {120},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2012.09.003}}

@article{K18,
	Author = {J.-H. Kwon},
	Doi = {10.1016/j.jcta.2017.09.007},
	Fjournal = {Journal of Combinatorial Theory, Series A},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {422-443},
	Title = {A crystal embedding into Lusztig data of type A},
	Volume = {154},
	Year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2017.09.007}}

@article{K18-2,
	Author = {J.-H. Kwon},
	Doi = {10.1016/j.jalgebra.2018.02.001},
	Fjournal = {Journal of Algebra},
	Journal = {J. Algebra},
	Pages = {222--264},
	Title = {Lusztig data of Kashiwara-Nakashima tableaux in types B and C},
	Volume = {503},
	Year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jalgebra.2018.02.001}}

@article{La,
	Author = {A. Lascoux},
	Doi = {10.1007/978-1-4612-0045-1_5},
	Fjournal = {Progress in Mathematics},
	Journal = {Progr. Math.},
	Pages = {95--114},
	Publisher = {Birkh\"{a}user, Boston, MA},
	Title = {Double crystal graphs. {\em In: Joseph A., Melnikov A., Rentschler R. (eds) Studies in Memory of Issai Schur}},
	Volume = {210},
	Year = {2003},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4612-0045-1_5}}

@article{Lu90,
	Author = {G. Lusztig},
	Doi = {10.2307/1990961},
	Fjournal = {Journal of the American Mathematical Society},
	Journal = {J. Amer. Math. Soc.},
	Pages = {447--498},
	Title = {Canonical bases arising from quantized universal enveloping algebras},
	Volume = {3},
	Year = {1990},
	Bdsk-Url-1 = {https://doi.org/10.2307/1990961}}

@article{Lu90-2,
	Author = {G. Lusztig},
	Fjournal = {Progress of Theoretical Physics Supplements},
	Journal = {Progr. Theor. Phys. Suppl.},
	Pages = {175--201},
	Title = {Canonical bases arising from quantized universal enveloping algebras II},
	Volume = {102},
	Year = {1990}}

@book{Lu93,
	Address = {Boston, MA},
	Author = {G. Lusztig},
	Date-Modified = {2019-04-18 15:56:11 +1000},
	Fjournal = {Progress in Mathematics},
	Journal = {Progr. Math.},
	Number = {110},
	Publisher = {Birkh\"{a}user},
	Series = {Progress in Mathematics},
	Title = {Introduction to Quantum Groups},
	Year = {1993}}

@article{MN,
	Author = {K. Misra and T. Nakashima},
	Doi = {10.1016/j.jalgebra.2018.03.041},
	Fjournal = {Journal of Algebra},
	Journal = {J. Algebra},
	Pages = {249--291},
	Title = {Affine geometric crystal of $A^{(1)}_n$ and limit of Kirillov-Reshetikhin perfect crystals},
	Volume = {507},
	Year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jalgebra.2018.03.041}}

@article{NZ,
	Author = {T. Nakashima and A. Zelevinsky},
	Doi = {10.1006/aima.1997.1670},
	Fjournal = {Advances in Mathematics},
	Journal = {Adv. Math.},
	Pages = {253--278},
	Title = {Polyhedral realizations of crystal bases for quantized Kac-Moody algebras},
	Volume = {131},
	Year = {1997},
	Bdsk-Url-1 = {https://doi.org/10.1006/aima.1997.1670}}

@article{S94,
	Author = {Y. Saito},
	Doi = {10.2977/prims/1195166130},
	Fjournal = {Publications of the Research Institute for Mathematical Sciences},
	Journal = {Publ. Res. Inst. Math. Sci.},
	Pages = {209--232},
	Title = {PBW basis of quantized universal enveloping algebras},
	Volume = {30},
	Year = {1994},
	Bdsk-Url-1 = {https://doi.org/10.2977/prims/1195166130}}

@article{S12,
	Author = {Y. Saito},
	Doi = {10.1093/imrn/rnr173},
	Fjournal = {International Mathematics Research Notices},
	Journal = {Int. Math. Res. Not.},
	Pages = {3877--3928},
	Title = {Mirkovi\'c-Vilonen polytopes and a quiver construction of crystal basis in type A},
	Volume = {2012},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1093/imrn/rnr173}}

@article{SST,
	Author = {B. Salisbury and A. Schultze and P. Tingley},
	Doi = {10.1007/s00031-017-9434-9},
	Fjournal = {Transformation Groups},
	Journal = {Trans. Groups},
	Pages = {501--525},
	Title = {Combinatorial descriptions of the crystal structure on certain PBW bases},
	Volume = {23},
	Year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00031-017-9434-9}}

@misc{SST16,
	Author = {B. Salisbury and A. Schultze and P. Tingley},
	Date-Modified = {2019-04-18 15:56:48 +1000},
	Eprint = {1606.02517},
	Eprinttype = {arXiv},
	Title = {PBW bases and marginally large tableaux in type D},
	Year = {2016}}

@article{ST,
	Author = {A. Schilling and P. Tingley},
	Journal = {Electron. J. Combin.},
	Pages = {P4, 42pp.},
	Title = {Demazure crystals, Kirillov-Reshetikhin crystals, and the energy functions},
	Volume = {19(2)},
	Year = {2012}}

@article{SS90,
	Author = {B.E. Sagan and R. Stanley},
	Doi = {10.1016/0097-3165(90)90066-6},
	Fjournal = {J. Combin. Theory Ser. A},
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	Pages = {161--193},
	Title = {Robinson-Schensted algorithms for skew tableaux},
	Volume = {55},
	Year = {1990},
	Bdsk-Url-1 = {https://doi.org/10.1016/0097-3165(90)90066-6}}

@article{Pap94,
	Author = {P. Papi},
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	Fjournal = {Proceedings of the American Mathematical Society},
	Journal = {Proc. Amer. Math. Soc.},
	Pages = {661--665},
	Title = {A characterization of a special ordering in a root system},
	Volume = {120},
	Year = {1994},
	Bdsk-Url-1 = {https://doi.org/10.2307/2160454}}

@article{JK,
	Author = {I.-S. Jang and J.-H. Kwon},
	Date-Modified = {2020-02-05 13:41:35 +1100},
	Doi = {10.1016/j.jcta.2019.06.004},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {219--254},
	Title = {Quantum nilpotent subalgebras of classical quantum groups and affine crystals},
	Volume = {168},
	Year = {2019}}

@article{KNO,
	Author = {M. Kashiwara and T. Nakashima and M. Okado},
	Date-Modified = {2019-04-18 15:50:34 +1000},
	Doi = {10.1090/S0002-9947-08-04341-9},
	Fjournal = {TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {3645---3686},
	Title = {Affine geometric crystals and limit of perfect crystals},
	Volume = {360},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1090/S0002-9947-08-04341-9}}

.