Simplicity and similarity of Kirillov-Reshetikhin crystals

Abstract

We show that the Kirillov-Reshetikhin crystal B^{r,s} for nonexceptional affine types is simple and have the similarity property. As a corollary of the first fact we can derive that the tensor product of KR crystals is connected. Variations of the second property are also given.

arXiv comment11 pages. arXiv admin note: text overlap with arXiv:0810.5067

Cited by in corpus (3)

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