Simplicity and similarity of Kirillov-Reshetikhin crystals

Published 3 Dec 2012 in math.RT and math.CO | (1212.0353v1)

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.

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Masato Okado

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