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Global crystal bases of quantum groups
Masaki Kashiwara
Source: Duke Math. J. Volume 69, Number 2
(1993), 455-485.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077293577
Mathematical Reviews number (MathSciNet): MR1203234
Zentralblatt MATH identifier: 0774.17018
Digital Object Identifier: doi:10.1215/S0012-7094-93-06920-7
References
[BLM] A. A. Beilinson, G. Lusztig, and R. MacPherson, A geometric setting for the quantum deformation of $\rm GL\sb n$, Duke Math. J. 61 (1990), no. 2, 655–677.
Mathematical Reviews (MathSciNet): MR91m:17012
Zentralblatt MATH: 0713.17012
Digital Object Identifier: doi:10.1215/S0012-7094-90-06124-1
Project Euclid: euclid.dmj/1077296831
[K1] M. Kashiwara, Crystalizing the $q$-analogue of universal enveloping algebras, Comm. Math. Phys. 133 (1990), no. 2, 249–260.
Mathematical Reviews (MathSciNet): MR92b:17018
Zentralblatt MATH: 0724.17009
Digital Object Identifier: doi:10.1007/BF02097367
Project Euclid: euclid.cmp/1104201397
[K2] 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
[K3] M. Kashiwara, Crystallizing the $q$-analogue of universal enveloping algebras, Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), Math. Soc. Japan, Tokyo, 1991, pp. 791–797.
Mathematical Reviews (MathSciNet): MR93b:17046
Zentralblatt MATH: 0749.17017
[L] 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
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Duke Mathematical Journal