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@preamble{"\def\cprime{$'$} "}



@book{B89,
	Author = {Baxter, R. J.},
	Date-Modified = {2017-04-14 04:32:52 +0000},
	Note = {Reprint of the 1982 original},
	Publisher = {Academic Press},
	Title = {Exactly Solved Models in Statistical Mechanics},
	Year = {1989}}

@article{B31,
	Author = {Bethe, H.},
	Date-Modified = {2017-04-14 04:34:05 +0000},
	Doi = {10.1007/BF01341708},
	Journal = {Z. Phys.},
	Pages = {205--226},
	Title = {Zur {T}heorie der {M}etalle},
	Volume = {71},
	Year = {1931},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01341708}}

@misc{combinat,
	Author = {The {S}age-{C}ombinat community},
	Date-Modified = {2017-04-14 04:34:32 +0000},
	Title = {{S}age-{C}ombinat: enhancing {S}age as a toolbox for computer exploration in algebraic combinatorics},
	Url = {http://combinat.sagemath.org},
	Year = 2008,
	Bdsk-Url-1 = {http://combinat.sagemath.org}}

@article{DS06,
	Author = {Deka, L. and Schilling, A.},
	Date-Modified = {2017-04-14 04:35:31 +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{FOS09,
	Author = {Fourier, G. and Okado, M. and Schilling, A.},
	Date-Modified = {2017-04-14 04:36:40 +0000},
	Doi = {10.1016/j.aim.2009.05.020},
	Journal = {Adv. Math.},
	Pages = {1080--1116},
	Title = {Kirillov-{R}eshetikhin crystals for nonexceptional types},
	Volume = {222},
	Year = {2009},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.aim.2009.05.020}}

@incollection{HKOTT02,
	Author = {Hatayama, G. and Kuniba, A. and Okado, M. and Takagi, T. and Tsuboi, Z.},
	Booktitle = {Math{P}hys Odyssey 2001},
	Date-Modified = {2017-04-14 04:38:52 +0000},
	Pages = {205--272},
	Publisher = {Birkh\"auser},
	Series = {Prog. Math. Phys., Vol. 23},
	Title = {Paths, crystals and fermionic formulae},
	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)},
	Date-Modified = {2017-04-14 04:40:34 +0000},
	Pages = {243--291},
	Publisher = {Amer. Math. Soc.},
	Series = {Contemp. Math., Vol. 248},
	Title = {Remarks on fermionic formula},
	Year = {1999}}

@article{HL08,
	Author = {Hong, J. and Lee, H.},
	Date-Modified = {2017-04-14 04:44:03 +0000},
	Doi = {10.1016/j.jalgebra.2008.06.008},
	Journal = {J. Algebra},
	Pages = {3680--3693},
	Title = {Young tableaux and crystal {$\mathcal{B}(\infty)$} for finite simple {L}ie algebras},
	Volume = {320},
	Year = {2008},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jalgebra.2008.06.008}}

@article{K91,
	Author = {Kashiwara, M.},
	Date-Modified = {2017-04-14 04:46:05 +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}}

@article{K93,
	Author = {Kashiwara, M.},
	Date-Modified = {2017-04-14 04:48:06 +0000},
	Doi = {10.1215/S0012-7094-93-07131-1},
	Journal = {Duke Math. J.},
	Pages = {839--858},
	Title = {The crystal base and {L}ittelmann's refined {D}emazure character formula},
	Volume = {71},
	Year = {1993},
	Bdsk-Url-1 = {http://dx.doi.org/10.1215/S0012-7094-93-07131-1}}

@incollection{K95,
	Author = {Kashiwara, M.},
	Booktitle = {Representations of Groups ({B}anff, {AB}, 1994)},
	Date-Modified = {2017-04-14 04:44:38 +0000},
	Pages = {155--197},
	Publisher = {Amer. Math. Soc.},
	Series = {CMS Conf. Proc., Vol. 16},
	Title = {On crystal bases},
	Year = {1995}}

@article{KKR86,
	Author = {Kerov, S. V. and Kirillov, A. N. and Reshetikhin, N. Yu.},
	Date-Modified = {2017-04-14 04:50:07 +0000},
	Journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)},
	Pages = {50--64, 193},
	Title = {Combinatorics, the {B}ethe ansatz and representations of the symmetric group},
	Volume = {155},
	Year = {1986}}

@article{KR86,
	Author = {Kirillov, A. N. and Reshetikhin, N. Yu.},
	Date-Modified = {2017-05-22 22:58:44 +0000},
	Fjournal = {Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta imeni V. A. Steklova Akademii Nauk SSSR (LOMI)},
	Journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)},
	Mrclass = {82A15 (05A17 20C30 81C40)},
	Mrnumber = {869577 (88i:82020)},
	Mrreviewer = {Leonid Krop},
	Pages = {65--115},
	Title = {The {B}ethe ansatz and the combinatorics of {Y}oung tableaux},
	Volume = {155},
	Year = {1986}}

@article{KS97,
	Author = {Kashiwara, M. and Saito, Y.},
	Date-Modified = {2017-04-14 04:49:06 +0000},
	Doi = {10.1215/s0012-7094-97-08902-x},
	Journal = {Duke Math. J.},
	Pages = {9--36},
	Title = {Geometric construction of crystal bases},
	Volume = {89},
	Year = {1997},
	Bdsk-Url-1 = {http://dx.doi.org/10.1215/s0012-7094-97-08902-x}}

@article{KSS1999,
	Author = {Kirillov, A. N. and Schilling, A. and Shimozono, M.},
	Date-Modified = {2017-04-14 04:53:02 +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{Lusztig90,
	Author = {Lusztig, G.},
	Date-Modified = {2017-04-14 04:54:00 +0000},
	Doi = {10.1090/s0894-0347-1990-1035415-6},
	Journal = {J. Amer. Math. Soc.},
	Pages = {447--498},
	Title = {Canonical bases arising from quantized enveloping algebras},
	Volume = {3},
	Year = {1990},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/s0894-0347-1990-1035415-6}}

@book{Lusztig93,
	Author = {Lusztig, G.},
	Date-Modified = {2017-04-14 04:54:23 +0000},
	Note = {Reprint of the 1994 edition},
	Publisher = {Birkh\"auser/Springer},
	Series = {Modern Birkh\"auser Classics},
	Title = {Introduction to Quantum Groups},
	Year = {2010}}

@article{NY97,
	Author = {Nakayashiki, A. and Yamada, Y.},
	Date-Modified = {2017-04-14 04:55:07 +0000},
	Doi = {10.1007/s000290050020},
	Journal = {Selecta Math. (N.S.)},
	Pages = {547--599},
	Title = {Kostka polynomials and energy functions in solvable lattice models},
	Volume = {3},
	Year = {1997},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s000290050020}}

@incollection{OSS03,
	Author = {Okado, M. and Schilling, A. and Shimozono, M.},
	Booktitle = {Algebraic Combinatorics and Quantum Groups},
	Date-Modified = {2017-04-14 04:55:33 +0000},
	Pages = {85--124},
	Publisher = {World Sci. Publ.},
	Title = {A crystal to rigged configuration bijection for nonexceptional affine algebras},
	Year = {2003}}

@article{OSS03II,
	Author = {Okado, M. and Schilling, A. and Shimozono, M.},
	Date-Modified = {2017-04-14 04:58:10 +0000},
	Doi = {10.1090/S1088-4165-03-00155-9},
	Journal = {Represent. Theory},
	Pages = {101--163},
	Title = {Virtual crystals and fermionic formulas of type {$D^{(2)}_{n+1},A^{(2)}_{2n}$}, and {$C^{(1)}_n$}},
	Volume = {7},
	Year = {2003},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/S1088-4165-03-00155-9}}

@article{OSS03III,
	Author = {Okado, M. and Schilling, A. and Shimozono, M.},
	Date-Modified = {2017-04-14 04:58:40 +0000},
	Doi = {10.1007/s00220-003-0855-z},
	Journal = {Comm. Math. Phys.},
	Pages = {187--209},
	Title = {Virtual crystals and {K}leber's algorithm},
	Volume = {238},
	Year = {2003},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00220-003-0855-z}}

@misc{OSSS16,
	Author = {Okado, M. and Sakamoto, R. and Schilling, A. and Scrimshaw, T.},
	Date-Modified = {2017-05-22 22:56:53 +0000},
	Doi = {10.1007/s10801-017-0756-4},
	Note = {To appear in \emph{J. Algebraic Combin.} Preprint at arXiv:\href{https://arxiv.org/abs/1603.08121}{1603.08121}},
	Title = {Type {$D_n^{(1)}$} rigged configuration bijection},
	Year = {2017},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10801-017-0756-4}}

@article{Sakamoto14,
	Author = {Sakamoto, R.},
	Date-Modified = {2017-04-14 05:02:09 +0000},
	Journal = {SIGMA Symmetry Integrability Geom. Methods Appl.},
	Pages = {Art. 028},
	Title = {Rigged configurations and {K}ashiwara operators},
	Url = {http://www.emis.de/journals/SIGMA/2014/028/},
	Volume = {10},
	Year = {2014},
	Bdsk-Url-1 = {http://www.emis.de/journals/SIGMA/2014/028/}}

@article{SalS15,
	Author = {Salisbury, B. and Scrimshaw, T.},
	Date-Modified = {2017-04-14 05:05:43 +0000},
	Doi = {10.1016/j.jcta.2015.01.008},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {29--57},
	Title = {A rigged configuration model for {$B(\infty)$}},
	Volume = {133},
	Year = {2015},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jcta.2015.01.008}}

@article{SalS15II,
	Author = {Salisbury, B. and Scrimshaw, T.},
	Date-Modified = {2017-04-14 05:08:21 +0000},
	Journal = {Electron. J. Combin.},
	Pages = {Art. P1.30},
	Title = {Rigged configurations for all symmetrizable types},
	Url = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i1p30},
	Volume = {24},
	Year = {2017},
	Bdsk-Url-1 = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i1p30}}

@article{SalS16,
	Author = {Salisbury, B. and Scrimshaw, T.},
	Date-Modified = {2017-04-14 05:06:40 +0000},
	Doi = {10.1007/s10468-015-9587-y},
	Journal = {Algebr. Represent. Theory},
	Number = {3},
	Pages = {523--546},
	Title = {Connecting marginally large tableaux and rigged configurations via crystals},
	Volume = {19},
	Year = {2016},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10468-015-9587-y}}

@misc{SalS16II,
	Author = {Salisbury, B. and Scrimshaw, T.},
	Date-Modified = {2017-04-14 05:07:09 +0000},
	Eprint = {1601.06137},
	Eprinttype = {arxiv},
	Title = {Rigged configurations and the $*$-involution},
	Year = {2016}}

@article{S05,
	Author = {Schilling, A.},
	Date-Modified = {2017-04-14 05:10:54 +0000},
	Doi = {10.1016/j.jalgebra.2004.12.010},
	Journal = {J. Algebra},
	Pages = {292--334},
	Title = {A bijection between type {$D^{(1)}_n$} crystals and rigged configurations},
	Volume = {285},
	Year = {2005},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jalgebra.2004.12.010}}

@article{S06,
	Author = {Schilling, A.},
	Date-Modified = {2017-04-14 05:12:21 +0000},
	Doi = {10.1155/IMRN/2006/97376},
	Journal = {Int. Math. Res. Not.},
	Pages = {Art. O97376},
	Title = {Crystal structure on rigged configurations},
	Year = {2006},
	Bdsk-Url-1 = {http://dx.doi.org/10.1155/IMRN/2006/97376}}

@article{SchillingS15,
	Author = {Schilling, A. and Scrimshaw, T.},
	Date-Modified = {2017-04-14 05:13:10 +0000},
	Journal = {Electron. J. Combin.},
	Pages = {Art. P1.73},
	Title = {Crystal structure on rigged configurations and the filling map for non-exceptional affine types},
	Url = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i1p73},
	Volume = {22},
	Year = {2015},
	Bdsk-Url-1 = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i1p73}}

@article{SW10,
	Author = {Schilling, A. and Wang, Q.},
	Date-Modified = {2017-04-14 05:14:14 +0000},
	Journal = {Electron. J. Combin.},
	Pages = {Art. R24},
	Title = {Promotion operator on rigged configurations of type {$A$}},
	Url = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v17i1r24},
	Volume = {17},
	Year = {2010},
	Bdsk-Url-1 = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v17i1r24}}

@article{Scrimshaw15,
	Author = {Scrimshaw, T.},
	Date-Modified = {2017-04-14 05:17:11 +0000},
	Doi = {10.1016/j.jalgebra.2015.09.047},
	Journal = {J. Algebra},
	Pages = {294--349},
	Title = {A crystal to rigged configuration bijection and the filling map for type {$D_4^{(3)}$}},
	Volume = {448},
	Year = {2016},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jalgebra.2015.09.047}}

@manual{sage,
	Author = {The Sage Developers},
	Date-Modified = {2017-04-14 05:00:49 +0000},
	Key = {SageMath},
	Title = {{S}ageMath, the {S}age {M}athematics {S}oftware {S}ystem ({V}ersion 7.4)},
	Url = {http://www.sagemath.org},
	Year = {2016},
	Bdsk-Url-1 = {http://www.sagemath.org}}

@article{TW,
	Author = {Tingley, P. and Webster, B.},
	Date-Modified = {2017-04-14 05:17:53 +0000},
	Doi = {10.1112/s0010437x16007338},
	Journal = {Compos. Math.},
	Pages = {1648--1696},
	Title = {Mirkovi\'c--{V}ilonen polytopes and {K}hovanov--{L}auda--{R}ouquier algebras},
	Volume = {152},
	Year = {2016},
	Bdsk-Url-1 = {http://dx.doi.org/10.1112/s0010437x16007338}}