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@article{Shim,
	Author = {M. Shimozono},
	Date-Added = {2016-11-15 10:29:30 +0000},
	Date-Modified = {2017-04-23 05:00:11 +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}}

@incollection{Y,
	Author = {Yamada, Y.},
	Booktitle = {Physics and Combinatorics 2000: Proceedings of the Nagoya 2000 International Workshop},
	Date-Added = {2016-11-15 09:03:51 +0000},
	Date-Modified = {2017-04-23 05:02:07 +0000},
	Pages = {305--319},
	Publisher = {World Scientific},
	Title = {{A} birational representation of {W}eyl group, combinatorial ${R}$-matrix and discrete {T}oda equation},
	Year = {2001}}

@book{EC2,
	Author = {R. P. Stanley},
	Date-Added = {2016-11-15 07:44:38 +0000},
	Date-Modified = {2017-04-23 05:00:19 +0000},
	Publisher = {Cambridge University Press},
	Title = {Enumerative Combinatorics},
	Volume = {2},
	Year = {1999}}

@article{LPloop,
	Author = {T. Lam and P. Pylyavskyy},
	Date-Added = {2016-11-15 07:44:29 +0000},
	Date-Modified = {2017-04-23 04:56:48 +0000},
	Doi = {10.1016/j.aim.2012.03.012},
	Journal = {Adv. Math.},
	Pages = {1222--1271},
	Title = {{T}otal positivity for loop groups {I}: whirls and curls},
	Volume = {230},
	Year = {2012},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.aim.2012.03.012}}

@misc{F1,
	Author = {G. Frieden},
	Date-Added = {2016-11-15 07:42:06 +0000},
	Date-Modified = {2017-04-02 04:23:31 +0000},
	Eprint = {1706.02844},
	Eprinttype = {arxiv},
	Year = {2017},
	Title = {Affine type {A} geometric crystal on the {G}rassmannian}}

@misc{MNnew,
	Author = {K. Misra and T. Nakashima},
	Date-Added = {2016-11-15 07:39:10 +0000},
	Date-Modified = {2017-04-23 04:58:12 +0000},
	Eprint = {1608.06063},
	Eprinttype = {arxiv},
	Title = {{A}ffine geometric crystal of ${A}^{(1)}_n$ and limit of {K}irillov-{R}eshetikhin perfect crystals},
	Year = {2016}}

@inproceedings{Lam,
	Author = {T. Lam},
	Booktitle = {Fifth International Congress of Chinese Mathematicians},
	Date-Added = {2016-11-15 07:13:31 +0000},
	Date-Modified = {2017-04-23 04:55:17 +0000},
	Pages = {609--628},
	Series = {{AMS/IP} Studies in Advanced Mathematics, Vol. 51},
	Title = {{L}oop symmetric functions and factorizing matrix polynomials},
	Year = {2012}}

@unpublished{F2,
	Author = {G. Frieden},
	Date-Added = {2016-04-01 05:37:07 +0000},
	Date-Modified = {2017-04-02 04:27:17 +0000},
	Note = {In preparation},
	Title = {{R}ational lift of the combinatorial {$R$}-matrix for tensor products of rectangles}}

@incollection{NY,
	Author = {M. Noumi and Y. Yamada},
	Booktitle = {Representation Theory of Algebraic Groups and Quantum Groups},
	Date-Added = {2015-11-16 18:11:12 +0000},
	Date-Modified = {2017-04-23 04:58:51 +0000},
	Pages = {371--442},
	Publisher = {Math. Soc. Japan},
	Series = {Adv. Stud. Pure Math., Vol. 40},
	Title = {{T}ropical {R}obinson-{S}chensted-{K}nuth correspondence and birational {W}eyl group actions},
	Year = {2004}}

@incollection{BK2,
	Author = {A. Berenstein and D. Kazhdan},
	Booktitle = {Quantum Groups},
	Date-Added = {2015-11-16 07:00:22 +0000},
	Date-Modified = {2017-04-23 04:53:34 +0000},
	Pages = {13--88},
	Publisher = {Amer. Math. Soc.},
	Series = {Contemp. Math., Vol. 433},
	Title = {Geometric and unipotent crystals. {II}. {F}rom unipotent bicrystals to crystal bases.},
	Year = {2007}}

@misc{LPS,
	Author = {T. Lam and P. Pylyavskyy and R. Sakamoto},
	Date-Added = {2015-11-16 06:54:03 +0000},
	Date-Modified = {2017-04-23 04:57:43 +0000},
	Eprint = {1410.4455},
	Eprinttype = {arxiv},
	Title = {Rigged Configurations and Cylindric Loop Schur Functions},
	Year = {2014}}