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Young diagrams and the image of the Kashiwara embedding for Uq(sl(n))

✍ Scribed by Alejandra Premat

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
400 KB
Volume
267
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this paper we describe the crystal graph of an irreducible module of highest weight NΞ› 0 of U q ( sl(n)), where N ∈ N and Ξ› 0 is a fundamental weight, in terms of N-tuples of coloured Young diagrams. This description differs from that given by Jimbo, Misra, Miwa and Okado, and allows us to obtain an explicit set of inequalities defining the cone whose lattice points give the image of one of the Kashiwara embeddings.

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