Crystal bases of modified quantized enveloping algebra
Masaki Kashiwara
Source: Duke Math. J. Volume 73, Number 2
(1994), 383-413.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288816
Mathematical Reviews number (MathSciNet): MR1262212
Zentralblatt MATH identifier: 0794.17009
Digital Object Identifier: doi:10.1215/S0012-7094-94-07317-1
References
[IIJMNT] M. Idzumi, K. Iohara, M. Jimbo, T. Miwa, T. Nakashima, and T. Tokihiro, quantum affine symmetry in Vertex models, to appear in Internat. J. Modern Phys. A.
Mathematical Reviews (MathSciNet): MR1210209
Digital Object Identifier: doi:10.1142/S0217751X9300062X
[K1] M. Kashiwara, On crystal bases of the $q$-analogue of universal enveloping algebras, Duke Math. J. 63 (1991), no. 2, 465–516.
Mathematical Reviews (MathSciNet): MR93b:17045
Zentralblatt MATH: 0739.17005
Digital Object Identifier: doi:10.1215/S0012-7094-91-06321-0
Project Euclid: euclid.dmj/1077295931
[K2] M. Kashiwara, Global crystal bases of quantum groups, Duke Math. J. 69 (1993), no. 2, 455–485.
Mathematical Reviews (MathSciNet): MR94b:17024
Zentralblatt MATH: 0774.17018
Digital Object Identifier: doi:10.1215/S0012-7094-93-06920-7
Project Euclid: euclid.dmj/1077293577
[K3] M. Kashiwara, The crystal base and Littelmann's refined Demazure character formula, Duke Math. J. 71 (1993), no. 3, 839–858.
Mathematical Reviews (MathSciNet): MR95b:17019
Zentralblatt MATH: 0794.17008
Digital Object Identifier: doi:10.1215/S0012-7094-93-07131-1
Project Euclid: euclid.dmj/1077290281
[L1] G. Lusztig, Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc. 3 (1990), no. 2, 447–498.
Mathematical Reviews (MathSciNet): MR90m:17023
Zentralblatt MATH: 0703.17008
Digital Object Identifier: doi:10.2307/1990961
JSTOR: links.jstor.org
[L2] G. Lusztig, Canonical bases in tensor products, Proc. Nat. Acad. Sci. U.S.A. 89 (1992), no. 17, 8177–8179.
Mathematical Reviews (MathSciNet): MR93j:17033
Zentralblatt MATH: 0760.17011
Digital Object Identifier: doi:10.1073/pnas.89.17.8177
JSTOR: links.jstor.org
[L3] G. Lusztig, Problems on canonical bases, preprint.
Mathematical Reviews (MathSciNet): MR1278734
Zentralblatt MATH: 0821.17004
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