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@article{HottaSpringer,
	Author = {Hotta, R. and Springer, T.A.},
	Date-Added = {2018-11-14 22:29:18 +0000},
	Date-Modified = {2019-05-26 21:02:48 +1000},
	Doi = {10.1007/bf01418371},
	Journal = {Invent. Math.},
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	Title = {A specialization theorem for certain {W}eyl group representations and an application to the {G}reen polynomials of unitary groups},
	Volume = {41},
	Year = {1977}}

@incollection{KKMMNN,
	Author = {S.-J. Kang and M. Kashiwara and K. Misra and T. Miwa and T. Nakashima and A. Nakayashiki},
	Booktitle = {Infinite analysis, {P}art {A}, {B} ({K}yoto, 1991)},
	Date-Added = {2018-11-06 17:21:43 +0000},
	Date-Modified = {2018-11-06 17:21:51 +0000},
	Pages = {449--484},
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	Series = {Adv. Ser. Math. Phys.},
	Title = {{A}ffine crystals and vertex models},
	Volume = {16},
	Year = {1992}}

@misc{CFKLY,
	Author = {M. Chmutov and G. Frieden and D. Kim and J.B. Lewis and E. Yudovina},
	Date-Modified = {2019-05-26 11:42:26 +1000},
	Eprint = {1806.07429},
	Eprinttype = {arxiv},
	Title = {An affine generalization of evacuation},
	Year = {2018}}

@article{KirBer,
	Author = {A. N. Kirillov and A. D. Berenstein},
	Date-Added = {2018-06-18 21:27:28 +0000},
	Date-Modified = {2018-06-19 01:30:20 +0000},
	Journal = {Algebra i Analiz},
	Note = {English translation: \textit{St. Petersburg Math. J.} 7(1):77--127, 1996},
	Number = {1},
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	Title = {Groups generated by involutions, {G}el'fand-{T}setlin patterns, and combinatorics of {Y}oung tableaux},
	Volume = {7},
	Year = {1995}}

@article{KostkaExpository,
	Author = {J. D\'esarm\'enien and B. Leclerc and J.-Y. Thibon},
	Date-Added = {2018-06-18 15:43:49 +0000},
	Date-Modified = {2019-05-26 13:01:06 +1000},
	Journal = {S\'em. Lothar. Combin.},
	Pages = {Art. B32c, 38 pp},
	Title = {Hall-{L}ittlewood functions and {K}ostka-{F}oulkes polynomials in representation theory},
	Url = {https://www.mat.univie.ac.at/~slc/opapers/s32leclerc.html},
	Volume = {32},
	Year = {1994}}

@article{BV,
	Author = {Barbasch, D. and Vogan, D.},
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	Volume = {259},
	Year = {1982}}

@book{BB,
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	Publisher = {Springer, New York},
	Series = {Graduate Texts in Mathematics},
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	Volume = {231},
	Year = {2005}}

@article{Garfinkle1,
	Author = {Garfinkle, D.},
	Journal = {Compositio Math.},
	Number = {2},
	Pages = {135--169},
	Title = {On the classification of primitive ideals for complex classical {L}ie algebras. {I}},
	Volume = {75},
	Year = {1990}}

@article{Garfinkle2,
	Author = {Garfinkle, D.},
	Journal = {Compositio Math.},
	Number = {3},
	Pages = {307--336},
	Title = {On the classification of primitive ideals for complex classical {L}ie algebra. {II}},
	Volume = {81},
	Year = {1992}}

@article{Garfinkle3,
	Author = {Garfinkle, D.},
	Journal = {Compositio Math.},
	Number = {2},
	Pages = {187--234},
	Title = {On the classification of primitive ideals for complex classical {L}ie algebras. {III}},
	Volume = {88},
	Year = {1993}}

@article{KirResh,
	Author = {Kirillov, A. N. and Reshetikhin, N. Y.},
	Date-Modified = {2019-05-26 21:04:45 +1000},
	Doi = {10.1007/bf01247088},
	Journal = {Zap. Nauchn. Sem. (LOMI)},
	Note = {English translation: \textit{J. Soviet. Math.}, 41(2):925--955, 1988},
	Pages = {65--115},
	Title = {The {B}ethe ansatz and the combinatorics of {Y}oung tableaux},
	Volume = {155},
	Year = {1986}}

@article{KSS,
	Author = {Kirillov, A. N. and Schilling, A. and Shimozono, M.},
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	Title = {A bijection between {L}ittlewood-{R}ichardson tableaux and rigged configurations},
	Volume = {8},
	Year = {2002}}

@article{Krattenthaler,
	Author = {Krattenthaler, C.},
	Date-Modified = {2019-05-26 21:05:58 +1000},
	Journal = {Electron. J. Combin.},
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	Title = {Bijective proofs of the hook formulas for the number of standard {Y}oung tableaux, ordinary and shifted},
	Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v2i1r13},
	Volume = {2},
	Year = {1995}}

@article{LScharge,
	Author = {Lascoux, A. and Sch\"utzenberger, M.-P.},
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	Volume = {286},
	Year = {1978}}

@article{LLTcharge,
	Author = {Lascoux, A. and Leclerc, B. and Thibon, J.-Y.},
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	Year = {1995}}

@book{Macdonald,
	Author = {Macdonald, I. G.},
	Date-Modified = {2019-05-26 21:07:25 +1000},
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	Publisher = {The Clarendon Press, Oxford University Press, New York},
	Series = {Oxford Mathematical Monographs},
	Title = {Symmetric Functions and {H}all Polynomials},
	Year = {1995}}

@book{Manivel,
	Author = {Manivel, L.},
	Note = {Translated from the 1998 French original by John R. Swallow, Cours Sp\'ecialis\'es, 3},
	Publisher = {American Mathematical Society, Providence, RI; Soci\'et\'e Math\'ematique de France, Paris},
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	Year = {2001}}

@article{RSW,
	Author = {Reiner, V. and Stanton, D. and White, D.},
	Date-Modified = {2019-05-26 21:08:59 +1000},
	Doi = {10.1016/j.jcta.2004.04.009},
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	Pages = {17--50},
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	Volume = {108},
	Year = {2004}}

@article{Rhoades,
	Author = {Rhoades, B.},
	Date-Modified = {2019-05-26 21:09:31 +1000},
	Doi = {10.1016/j.jcta.2009.03.017},
	Journal = {J. Combin. Theory Ser. A},
	Number = {1},
	Pages = {38--76},
	Title = {Cyclic sieving, promotion, and representation theory},
	Volume = {117},
	Year = {2010}}

@book{Sagan,
	Author = {Sagan, B. E.},
	Edition = {Second},
	Publisher = {Springer-Verlag, New York},
	Series = {Graduate Texts in Mathematics},
	Title = {The symmetric group},
	Volume = {203},
	Year = {2001}}

@article{SchillWar,
	Author = {Schilling, A. and Warnaar, S. O.},
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	Pages = {359--401},
	Title = {Inhomogeneous lattice paths, generalized {K}ostka polynomials and {$A_{n-1}$} supernomials},
	Volume = {202},
	Year = {1999}}

@incollection{SchutzCharge,
	Author = {Sch\"utzenberger, M.-P.},
	Booktitle = {S\'eminaire {D}elange-{P}isot-{P}oitou, 19e ann\'ee: 1977/78, Expos\'e No. 26},
	Publisher = {Secr\'etariat Math., Paris},
	Title = {Propri\'et\'es nouvelles des tableaux de {Y}oung},
	Year = {1978}}

@article{Shimozono,
	Author = {Shimozono, M.},
	Journal = {J. Algebraic Combin.},
	Number = {2},
	Pages = {151--187},
	Title = {Affine type {$A$} crystal structure on tensor products of rectangles, {D}emazure characters, and nilpotent varieties.},
	Volume = {15},
	Year = {2002}}

@unpublished{ShimozonoDummies,
	Author = {Shimozono, M.},
	Date-Modified = {2019-05-26 21:10:37 +1000},
	Note = {Unpublished notes},
	Title = {Crystals for dummies},
	Url = {https://www.aimath.org/WWN/kostka/crysdumb.pdf},
	Year = {2005}}

@article{ShimozonoAtoms,
	Author = {Shimozono, M.},
	Journal = {European J. Combin.},
	Number = {3},
	Pages = {395--414},
	Title = {Multi-atoms and monotonicity of generalized {K}ostka polynomials},
	Volume = {22},
	Year = {2001}}

@article{ShimozonoLR,
	Author = {Shimozono, M.},
	Date-Modified = {2018-06-18 21:33:42 +0000},
	Journal = {European J. Combin.},
	Number = {3},
	Pages = {365--393},
	Title = {A cyclage poset structure for {L}ittlewood-{R}ichardson tableaux},
	Volume = {22},
	Year = {2001}}

@book{EC1,
	Author = {Stanley, R. P.},
	Edition = {Second},
	Publisher = {Cambridge University Press, Cambridge},
	Series = {Cambridge Studies in Advanced Mathematics},
	Title = {Enumerative combinatorics. {V}ol. 1},
	Volume = {49},
	Year = {2012}}

@article{Dennises,
	Author = {Stanton, D. W. and White, D. E.},
	Journal = {J. Combin. Theory Ser. A},
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	Title = {A {S}chensted algorithm for rim hook tableaux},
	Volume = {40},
	Year = {1985}}

@article{NakayashikiYamada,
	Author = {Nakayashiki, A. and Yamada, Y.},
	Date-Modified = {2019-05-26 21:08:28 +1000},
	Doi = {10.1007/s000290050020},
	Journal = {Selecta Math. (N.S.)},
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	Pages = {547--599},
	Title = {Kostka polynomials and energy functions in solvable lattice models},
	Volume = {3},
	Year = {1997}}

@book{Fulton,
	Author = {Fulton, W.},
	Publisher = {Cambridge Univ. Press, Cambridge},
	Title = {Young Tableaux},
	Year = {1997}}

@article{Green,
	Author = {Green, J. A.},
	Date-Modified = {2019-05-26 21:02:17 +1000},
	Doi = {10.2307/1992997},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {402--447},
	Title = {The characters of the finite general linear groups},
	Volume = {80},
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@article{Greene,
	Author = {Greene, C.},
	Journal = {{J. Comb. Theory, Ser. A}},
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	Volume = {20},
	Year = {1976}}

@article{GreeneKleitman,
	Author = {Greene, C. and Kleitman, D. J.},
	Journal = {{J. Comb. Theory, Ser. A}},
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	Volume = {20},
	Year = {1976}}

@article{CPY,
	Author = {Chmutov, M. and Pylyavskyy, P. and Yudovina, E.},
	Date-Modified = {2019-05-26 13:00:13 +1000},
	Doi = {10.1007/s00029-018-0402-6},
	Journal = {Selecta Math. (N.S.)},
	Number = {2},
	Pages = {667--750},
	Title = {Matrix-Ball Construction of affine {R}obinson-{S}chensted correspondence},
	Volume = {24},
	Year = 2018}

@misc{CLP,
	Author = {Chmutov, M. and Lewis, J. B. and Pylyavskyy, P.},
	Howpublished = {\texttt{arXiv:1706.00471v2}},
	Title = {Monodromy in {K}azhdan-{L}usztig cells in affine type {A}},
	Year = 2017}

@article{KimSpringer,
	Author = {Kim, D.},
	Date-Modified = {2019-05-26 21:03:36 +1000},
	Doi = {10.1007/s00029-018-0438-7},
	Journal = {Selecta Math. (N.S.)},
	Number = {5},
	Pages = {4141--4196},
	Title = {On total {S}pringer representations for classical types},
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@misc{KimInvolution,
	Author = {Kim, D.},
	Date-Modified = {2019-05-26 21:03:07 +1000},
	Eprint = {1804.05636},
	Eprinttype = {arxiv},
	Title = {On the affine {S}ch{\"u}tzenberger involution},
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@article{Erikssons,
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@article{Fomin,
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@incollection{LascouxSchutzenberger,
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@article{Lusztig,
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@book{MacdonaldAlt,
	Author = {Macdonald, I. G.},
	Edition = {Second},
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@misc{Pak,
	Author = {Pak, I.},
	Date-Modified = {2018-06-18 21:35:33 +0000},
	Howpublished = {\url{http://www.math.ucla.edu/~pak/papers/inf2.pdf}},
	Title = {Periodic permutations and the {R}obinson-{S}chensted correspondence},
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@article{Schutzenberger,
	Author = {Sch\"utzenberger, M.-P.},
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@article{SchutzenbergerPromotion,
	Author = {Sch\"utzenberger, M.-P.},
	Journal = {Discrete Mathematics},
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@book{EC2,
	Author = {Stanley, R. P.},
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	Note = {With a foreword by Gian-Carlo Rota and Appendix 1 by Sergey Fomin},
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	Publisher = {Cambridge University Press, Cambridge},
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	Title = {Enumerative Combinatorics. {V}ol. 2},
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@article{StanleyEvac,
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@article{Stembridge,
	Author = {Stembridge, J. R.},
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@article{StembridgePlanePartitions,
	Author = {Stembridge, J. R.},
	Journal = {J. Combin. Theory Ser. A},
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	Volume = {68},
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@incollection{StembridgeMolecules,
	Author = {Stembridge, J. R.},
	Booktitle = {Notes from the AIM workshop, Palo Alto},
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	Publisher = {The Atlas of Lie Groups},
	Title = {More {$W$}-graphs and cells: Molecular components and cell synthesis},
	Year = {2008}}

@article{vanL,
	Author = {van Leeuwen, M. A. A.},
	Journal = {Electron. J. Combin.},
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	Volume = {3},
	Year = {1996}}

@article{assaf_degI,
	Author = {Assaf, S. H.},
	Journal = {Forum of Mathematics, Sigma},
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	Publisher = {Cambridge University Press},
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	Volume = {3},
	Year = {2015}}

@article{Shi_GRS,
	Author = {Shi, J. Y.},
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	Doi = {10.1016/0021-8693(91)90300-w},
	Journal = {J. Algebra},
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	Pages = {364--394},
	Title = {{The generalized Robinson-Schensted algorithm on the affine Weyl group of type $\widetilde{A}_{n-1}$}},
	Volume = {139},
	Year = {1991}}