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arXiv · 2107.08614

Perfectness of Kirillov-Reshetikhin Crystals $B^{r,s}$ for types $E_{6}^{(1)}$ and $E_{7}^{(1)}$ with a minuscule node $r$

Toya Hiroshima
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Abstract

We prove the perfectness of Kirillov-Reshetikhin crystals $B^{r,s}$ for types $E_{6}^{(1)}$ and $E_{7}^{(1)}$ with $r$ being the minuscule node and $s\geq 1$ using the polytope model of KR crystals introduced by Jang.

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Toya Hiroshima. 2021-07-29. Perfectness of Kirillov-Reshetikhin Crystals $B^{r,s}$ for types $E_{6}^{(1)}$ and $E_{7}^{(1)}$ with a minuscule node $r$. https://arxiv.org/abs/2107.08614

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