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arXiv · 1212.0353

Simplicity and similarity of Kirillov-Reshetikhin crystals

Masato Okado
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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. 2012-12-03. Simplicity and similarity of Kirillov-Reshetikhin crystals. https://arxiv.org/abs/1212.0353

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