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@article{Shimozono02,
	Author = {Shimozono, M.},
	Date-Added = {2017-06-07 10:58:54 +0000},
	Date-Modified = {2017-06-07 10:58:54 +0000},
	Doi = {10.1023/A:1013894920862},
	Journal = {J. Algebraic Combin.},
	Pages = {151--187},
	Title = {Affine type {A} crystal structure on tensor products of rectangles, {D}emazure characters, and nilpotent varieties},
	Volume = {15},
	Year = {2002},
	Bdsk-Url-1 = {http://dx.doi.org/10.1023/A:1013894920862}}

@article{BFZ05,
	Author = {Berenstein, A. and Fomin, S. and Zelevinsky, A.},
	Date-Modified = {2017-04-23 05:16:07 +0000},
	Doi = {10.1215/s0012-7094-04-12611-9},
	Journal = {Duke Math. J.},
	Pages = {1--52},
	Title = {Cluster algebras. {III}. {U}pper bounds and double {B}ruhat cells},
	Volume = {126},
	Year = {2005},
	Bdsk-Url-1 = {http://dx.doi.org/10.1215/s0012-7094-04-12611-9}}

@incollection{CP95,
	Author = {Chari, V. and Pressley, A.},
	Booktitle = {Representations of Groups ({B}anff, {AB}, 1994)},
	Date-Modified = {2017-04-23 05:16:40 +0000},
	Pages = {59--78},
	Publisher = {Amer. Math. Soc.},
	Series = {CMS Conf. Proc., Vol. 16},
	Title = {Quantum affine algebras and their representations},
	Year = {1995}}

@article{CP98,
	Author = {Chari, V. and Pressley, A.},
	Date-Modified = {2017-04-23 05:17:19 +0000},
	Doi = {10.1007/s002200050431},
	Journal = {Comm. Math. Phys.},
	Pages = {461--476},
	Title = {Twisted quantum affine algebras},
	Volume = {196},
	Year = {1998},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s002200050431}}

@article{DS06,
	Author = {Deka, L. and Schilling, A.},
	Date-Modified = {2017-04-23 05:17:54 +0000},
	Doi = {10.1016/j.jcta.2006.01.003},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {1435--1461},
	Title = {New fermionic formula for unrestricted {K}ostka polynomials},
	Volume = {113},
	Year = {2006},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jcta.2006.01.003}}

@article{FM01,
	Author = {Frenkel, E. and Mukhin, E.},
	Date-Modified = {2017-04-23 05:23:53 +0000},
	Doi = {10.1007/s002200000323},
	Journal = {Comm. Math. Phys.},
	Pages = {23--57},
	Title = {Combinatorics of {$q$}-characters of finite-dimensional representations of quantum affine algebras},
	Volume = {216},
	Year = {2001},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s002200000323}}

@article{FOS10,
	Author = {Fourier, G. and Okado, M. and Schilling, A.},
	Date-Modified = {2017-04-23 05:23:03 +0000},
	Doi = {10.1090/conm/506/09938},
	Journal = {Contemp. Math.},
	Pages = {127--143},
	Title = {Perfectness of {K}irillov-{R}eshetikhin crystals for nonexceptional types},
	Volume = {506},
	Year = {2010},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/conm/506/09938}}

@incollection{FR99,
	Author = {Frenkel, E. and Reshetikhin, N.},
	Booktitle = {Recent Developments in Quantum Affine Algebras and Related Topics ({R}aleigh, {NC}, 1998)},
	Date-Modified = {2017-04-23 05:25:08 +0000},
	Pages = {163--205},
	Publisher = {Amer. Math. Soc.},
	Series = {Contemp. Math., Vol. 248},
	Title = {The {$q$}-characters of representations of quantum affine algebras and deformations of {$\mathscr{W}$}-algebras},
	Year = {1999}}

@article{FZ02,
	Author = {Fomin, S. and Zelevinsky, A.},
	Date-Modified = {2017-04-23 05:21:34 +0000},
	Doi = {10.1090/S0894-0347-01-00385-X},
	Journal = {J. Amer. Math. Soc.},
	Pages = {497--529},
	Title = {Cluster algebras. {I}. {F}oundations},
	Volume = {15},
	Year = {2002},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/S0894-0347-01-00385-X}}

@misc{GS16,
	Author = {Gunawan, E. and Scrimshaw, T.},
	Date-Modified = {2017-04-23 05:25:37 +0000},
	Eprint = {1610.09224},
	Eprinttype = {arxiv},
	Title = {Kirillov-{R}eshetikhin crystals {$B^{1,s}$} using {N}akajima monomials for {$\widehat{\mathfrak{sl}}_n$}},
	Year = {2016}}

@article{Hernandez04,
	Author = {Hernandez, D.},
	Date-Modified = {2017-04-23 05:40:20 +0000},
	Doi = {10.1016/j.aim.2003.07.016},
	Journal = {Adv. Math.},
	Pages = {1--52},
	Title = {Algebraic approach to {$q,t$}-characters},
	Volume = {187},
	Year = {2004},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.aim.2003.07.016}}

@article{Hernandez10,
	Author = {Hernandez, D.},
	Date-Modified = {2017-04-23 05:41:17 +0000},
	Doi = {10.1093/imrn/rnp121},
	Journal = {Int. Math. Res. Not.},
	Number = {1},
	Pages = {149--193},
	Title = {Kirillov-{R}eshetikhin conjecture: the general case},
	Year = {2010},
	Bdsk-Url-1 = {http://dx.doi.org/10.1093/imrn/rnp121}}

@article{HL16,
	Author = {Hernandez, D. and Leclerc, B.},
	Date-Modified = {2017-04-23 05:43:33 +0000},
	Doi = {10.4171/jems/609},
	Journal = {J. Eur. Math. Soc.},
	Pages = {1113--1159},
	Title = {A cluster algebra approach to {$q$}-characters of {K}irillov-{R}eshetikhin modules},
	Volume = {18},
	Year = {2016},
	Bdsk-Url-1 = {http://dx.doi.org/10.4171/jems/609}}

@article{HN06,
	Author = {Hernandez, D. and Nakajima, H.},
	Date-Modified = {2017-04-23 05:44:43 +0000},
	Doi = {10.1017/s0027763000009326},
	Journal = {Nagoya Math. J.},
	Pages = {85--153},
	Title = {Level 0 monomial crystals},
	Volume = {184},
	Year = {2006},
	Bdsk-Url-1 = {http://dx.doi.org/10.1017/s0027763000009326}}

@book{JM95,
	Author = {Jimbo, M. and Miwa, T.},
	Date-Modified = {2017-04-23 05:45:51 +0000},
	Publisher = {Amer. Math. Soc.},
	Series = {CBMS Regional Conf. Ser. in Math., Vol. 85},
	Title = {Algebraic Analysis of Solvable Lattice Models},
	Year = {1995}}

@article{K90,
	Author = {Kashiwara, M.},
	Date-Modified = {2017-04-23 06:01:33 +0000},
	Doi = {10.1007/bf02097367},
	Journal = {Comm. Math. Phys.},
	Pages = {249--260},
	Title = {Crystalizing the {$q$}-analogue of universal enveloping algebras},
	Volume = {133},
	Year = {1990},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/bf02097367}}

@article{K91,
	Author = {Kashiwara, M.},
	Date-Modified = {2017-04-23 06:02:06 +0000},
	Doi = {10.1215/s0012-7094-91-06321-0},
	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 = {http://dx.doi.org/10.1215/s0012-7094-91-06321-0}}

@incollection{K03II,
	Author = {Kashiwara, M.},
	Booktitle = {Combinatorial and Geometric Representation Theory ({S}eoul, 2001)},
	Date-Modified = {2017-04-23 06:02:54 +0000},
	Pages = {133--139},
	Publisher = {Amer. Math. Soc.},
	Series = {Contemp. Math., Vol. 325},
	Title = {Realizations of crystals},
	Year = {2003}}

@incollection{KKMMNN91,
	Author = {Kang, S.-J. and Kashiwara, M. and Misra, K. C. and Miwa, T. and Nakashima, T. and Nakayashiki, A.},
	Booktitle = {Infinite Analysis, {P}art {A}, {B} ({K}yoto, 1991)},
	Date-Modified = {2017-04-23 05:55:38 +0000},
	Pages = {449--484},
	Publisher = {World Scientific},
	Series = {Adv. Ser. Math. Phys., Vol. 16},
	Title = {Affine crystals and vertex models},
	Year = {1992}}

@article{KKMMNN92,
	Author = {Kang, S.-J. and Kashiwara, M. and Misra, K. C. and Miwa, T. and Nakashima, T. and Nakayashiki, A.},
	Date-Modified = {2017-04-23 05:58:07 +0000},
	Doi = {10.1215/s0012-7094-92-06821-9},
	Journal = {Duke Math. J.},
	Pages = {499--607},
	Title = {Perfect crystals of quantum affine {L}ie algebras},
	Volume = {68},
	Year = {1992},
	Bdsk-Url-1 = {http://dx.doi.org/10.1215/s0012-7094-92-06821-9}}

@article{KKM94,
	Author = {Kang, S.-J. and Kashiwara, M. and Misra, K. C.},
	Date-Modified = {2017-04-23 05:54:56 +0000},
	Journal = {Compositio Math.},
	Pages = {299--325},
	Title = {Crystal bases of {V}erma modules for quantum affine {L}ie algebras},
	Volume = {92},
	Year = {1994}}

@article{KKR86,
	Author = {Kerov, S. V. and Kirillov, A. N. and Reshetikhin, N. Yu.},
	Date-Modified = {2017-04-23 06:08:02 +0000},
	Journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)},
	Pages = {50--64},
	Title = {Combinatorics, the {B}ethe ansatz and representations of the symmetric group},
	Volume = {155},
	Year = {1986}}

@article{KKS07,
	Author = {Kang, S.-J. and Kim, J.-A. and Shin, D.-U.},
	Date-Modified = {2017-04-23 06:00:40 +0000},
	Doi = {10.1016/j.jalgebra.2006.09.022},
	Journal = {J. Algebra},
	Pages = {524--535},
	Title = {Modified {N}akajima monomials and the crystal {$B(\infty)$}},
	Volume = {308},
	Year = {2007},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jalgebra.2006.09.022}}

@article{KN94,
	Author = {Kashiwara, M. and Nakashima, T.},
	Date-Modified = {2017-04-23 06:04:16 +0000},
	Doi = {10.1006/jabr.1994.1114},
	Journal = {J. Algebra},
	Pages = {295--345},
	Title = {Crystal graphs for representations of the {$q$}-analogue of classical {L}ie algebras},
	Volume = {165},
	Year = {1994},
	Bdsk-Url-1 = {http://dx.doi.org/10.1006/jabr.1994.1114}}

@article{KN12,
	Author = {Kodera, R. and Naoi, K.},
	Date-Modified = {2017-04-23 06:10:22 +0000},
	Doi = {10.2977/prims/77},
	Journal = {Publ. Res. Inst. Math. Sci.},
	Pages = {477--500},
	Title = {Loewy series of {W}eyl modules and the {P}oincar\'e polynomials of quiver varieties},
	Volume = {48},
	Year = {2012},
	Bdsk-Url-1 = {http://dx.doi.org/10.2977/prims/77}}

@article{KN15,
	Author = {Kanakubo, Y. and Nakashima, T.},
	Date-Modified = {2017-04-23 05:47:35 +0000},
	Doi = {10.3842/sigma.2015.033},
	Journal = {Symmetry Integrability Geom. Methods Appl. (SIGMA)},
	Pages = {Art. 033},
	Title = {Cluster variables on certain double {B}ruhat cells of type {$(u,e)$} and monomial realizations of crystal bases of type {A}},
	Volume = {11},
	Year = {2015},
	Bdsk-Url-1 = {http://dx.doi.org/10.3842/sigma.2015.033}}

@article{KP84,
	Author = {Kazhdan, D. A. and Patterson, S. J.},
	Date-Modified = {2017-04-23 06:07:04 +0000},
	Doi = {10.1007/bf02698770},
	Journal = {Publ. Math. Inst. Hautes \'Etudes Sci.},
	Pages = {35--142},
	Title = {Metaplectic forms},
	Volume = {59},
	Year = {1984},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/bf02698770}}

@article{KR86,
	Author = {Kirillov, A. N. and Reshetikhin, N. Yu.},
	Date-Modified = {2017-04-23 06:08:26 +0000},
	Journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)},
	Pages = {65--115},
	Title = {The {B}ethe ansatz and the combinatorics of {Y}oung tableaux},
	Volume = {155},
	Year = {1986}}

@article{KSS02,
	Author = {Kirillov, A. N. and Schilling, A. and Shimozono, M.},
	Date-Modified = {2017-04-23 06:09:09 +0000},
	Doi = {10.1007/s00029-002-8102-6},
	Journal = {Selecta Math. (N. S.)},
	Pages = {67--135},
	Title = {A bijection between {L}ittlewood-{R}ichardson tableaux and rigged configurations},
	Volume = {8},
	Year = {2002},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00029-002-8102-6}}

@article{Kwon13,
	Author = {Kwon, J.-H.},
	Date-Modified = {2017-04-23 06:11:12 +0000},
	Doi = {10.1016/j.jcta.2012.09.003},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {433--452},
	Title = {R{SK} correspondence and classically irreducible {K}irillov-{R}eshetikhin crystals},
	Volume = {120},
	Year = {2013},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jcta.2012.09.003}}

@article{LL15,
	Author = {Lenart, C. and Lubovsky, A.},
	Date-Modified = {2017-04-23 06:13:37 +0000},
	Doi = {10.1007/s10801-014-0552-3},
	Journal = {J. Algebraic Combin.},
	Number = {3},
	Pages = {751--783},
	Title = {A generalization of the alcove model and its applications},
	Volume = {41},
	Year = {2015},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10801-014-0552-3}}

@article{LNSSS14,
	Author = {Lenart, C. and Naito, S. and Sagaki, D. and Schilling, A. and Shimozono, M.},
	Date-Modified = {2017-04-23 06:16:45 +0000},
	Doi = {10.1093/imrn/rnt263},
	Journal = {Int. Math. Res. Not.},
	Pages = {1848--1901},
	Title = {A uniform model for {K}irillov-{R}eshetikhin crystals {I}: {L}ifting the parabolic quantum {B}ruhat graph},
	Volume = {2015},
	Year = {2015},
	Bdsk-Url-1 = {http://dx.doi.org/10.1093/imrn/rnt263}}

@article{LNSSS14II,
	Author = {Lenart, C. and Naito, S. and Sagaki, D. and Schilling, A. and Shimzono, M.},
	Date-Modified = {2017-04-23 06:18:00 +0000},
	Doi = {10.1093/imrn/rnw129},
	Journal = {Int. Math. Res. Not.},
	Pages = {Art. rnw129},
	Title = {A uniform model for {K}irillov-{R}eshetikhin crystals {II}. {A}lcove model, path model, and {$P=X$}},
	Volume = {2016},
	Year = {2016},
	Bdsk-Url-1 = {http://dx.doi.org/10.1093/imrn/rnw129}}

@article{LNSSS15,
	Author = {Lenart, C. and Naito, S. and Sagaki, D. and Schilling, A. and Shimzono, M.},
	Date-Modified = {2017-04-23 06:18:36 +0000},
	Doi = {10.1007/s00031-017-9421-1},
	Journal = {Transform. Groups},
	Pages = {1--39},
	Title = {A uniform model for {K}irillov-{R}eshetikhin crystals {III}: {N}onsymmetric {M}acdonald polynomials at {$t=0$} and {D}emazure characters},
	Year = {2017},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00031-017-9421-1}}

@article{LNSSS16,
	Author = {Lenart, C. and Naito, S. and Sagaki, D. and Schilling, A. and Shimzono, M.},
	Date-Modified = {2017-04-23 06:21:47 +0000},
	Journal = {Adv. Stud. Pure Math.},
	Note = {To appear},
	Pages = {267--294},
	Title = {Quantum {L}akshmibai-{S}eshadri paths and root operators},
	Volume = {71},
	Year = {2016}}

@incollection{Nakajima01,
	Author = {Nakajima, H.},
	Booktitle = {Physics and Combinatorics 2000: Proceedings of the Nagoya 2000 International Workshop},
	Date-Modified = {2017-04-23 06:27:48 +0000},
	Pages = {196--219},
	Publisher = {World Scientific},
	Title = {{$t$}-analogue of the {$q$}-characters of finite dimensional representations of quantum affine algebras},
	Year = {2001}}

@incollection{Nakajima03,
	Author = {Nakajima, H.},
	Booktitle = {Combinatorial and Geometric Representation Theory ({S}eoul, 2001)},
	Date-Modified = {2017-04-23 06:25:54 +0000},
	Pages = {141--160},
	Publisher = {Amer. Math. Soc.},
	Series = {Contemp. Math., Vol. 325},
	Title = {{$t$}-analogs of {$q$}-characters of quantum affine algebras of type {$A_n,D_n$}},
	Year = {2003}}

@article{Nakajima03II,
	Author = {Nakajima, H.},
	Date-Modified = {2017-04-23 06:25:21 +0000},
	Doi = {10.1090/S1088-4165-03-00164-X},
	Journal = {Represent. Theory},
	Pages = {259--274},
	Title = {{$t$}-analogs of {$q$}-characters of {K}irillov-{R}eshetikhin modules of quantum affine algebras},
	Volume = {7},
	Year = {2003},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/S1088-4165-03-00164-X}}

@article{Nakajima04,
	Author = {Nakajima, H.},
	Date-Modified = {2017-04-23 06:23:11 +0000},
	Doi = {10.4007/annals.2004.160.1057},
	Journal = {Ann. of Math. (2)},
	Pages = {1057--1097},
	Title = {Quiver varieties and {$t$}-analogs of {$q$}-characters of quantum affine algebras},
	Volume = {160},
	Year = {2004},
	Bdsk-Url-1 = {http://dx.doi.org/10.4007/annals.2004.160.1057}}

@incollection{Nakajima10,
	Author = {Nakajima, H.},
	Booktitle = {Representation Theory of Algebraic Groups and Quantum Groups},
	Date-Modified = {2017-04-23 06:26:31 +0000},
	Pages = {257--272},
	Publisher = {Birkh\"auser/Springer},
	Series = {Progr. Math., Vol. 284},
	Title = {{$t$}-analogs of {$q$}-characters of quantum affine algebras of type {$E_6$}, {$E_7$}, {$E_8$}},
	Year = {2010}}

@article{OSS03IV,
	Author = {Okado, M. and Schilling, A. and Shimozono, M.},
	Date-Modified = {2017-04-23 06:31:35 +0000},
	Doi = {10.1016/S0021-8693(03)00349-1},
	Journal = {J. Algebra},
	Pages = {212--245},
	Title = {A tensor product theorem related to perfect crystals},
	Volume = {267},
	Year = {2003},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/S0021-8693(03)00349-1}}

@manual{sage,
	Author = {The Sage Developers},
	Key = {Sage},
	Organization = {The Sage Development Team},
	Title = {{S}age {M}athematics {S}oftware ({V}ersion 7.4)},
	Url = {http://www.sagemath.org},
	Year = {2016},
	Bdsk-Url-1 = {http://www.sagemath.org}}

@article{ST14,
	Author = {Sam, S. V. and Tingley, P.},
	Date-Modified = {2017-04-23 06:33:00 +0000},
	Doi = {10.1007/s10801-013-0448-7},
	Journal = {J. Algebraic Combin.},
	Pages = {271--300},
	Title = {Combinatorial realizations of crystals via torus actions on quiver varieties},
	Volume = {39},
	Year = {2014},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10801-013-0448-7}}

@article{Tingley08,
	Author = {Tingley, P.},
	Date-Modified = {2017-04-23 06:38:08 +0000},
	Doi = {10.1093/imrn/rnm143},
	Journal = {Int. Math. Res. Not.},
	Pages = {Art. rnm143},
	Title = {Three combinatorial models for {$\widehat{\rm sl}_n$} crystals, with applications to cylindric plane partitions},
	Volume = {2008},
	Year = {2008},
	Bdsk-Url-1 = {http://dx.doi.org/10.1093/imrn/rnm143}}

@article{Tingley10,
	Author = {Tingley, P.},
	Date-Modified = {2017-04-23 06:36:27 +0000},
	Doi = {10.3842/sigma.2010.035},
	Journal = {Symmetry Integrability Geom. Methods Appl. (SIGMA)},
	Pages = {Art. 035},
	Title = {Monomial crystals and partition crystals},
	Volume = {6},
	Year = {2010},
	Bdsk-Url-1 = {http://dx.doi.org/10.3842/sigma.2010.035}}

@article{TS90,
	Author = {Takahashi, D. and Satsuma, J.},
	Date-Modified = {2017-04-23 06:35:20 +0000},
	Doi = {10.1143/JPSJ.59.3514},
	Journal = {J. Phys. Soc. Japan},
	Pages = {3514--3519},
	Title = {A soliton cellular automaton},
	Volume = {59},
	Year = {1990},
	Bdsk-Url-1 = {http://dx.doi.org/10.1143/JPSJ.59.3514}}