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arXiv · 1901.00182

Kirillov-Reshetikhin crystals $B^{7,s}$ for type $E_7^{(1)}$

Rekha Biswal·Travis Scrimshaw
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Abstract

We construct a combinatorial crystal structure on the Kirillov-Reshetikhin crystal $B^{7,s}$ in type $E_7^{(1)}$, where $7$ is the unique node in the orbit of $0$ in the affine Dynkin diagram. We then describe the combinatorial $R$-matrix $R \colon B^{7,s} \otimes B^{7,s'} \to B^{7,s'} \otimes B^{7,s}$.

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BibTeXRIS

Rekha Biswal, Travis Scrimshaw. 2019-01-01. Kirillov-Reshetikhin crystals $B^{7,s}$ for type $E_7^{(1)}$. https://doi.org/10.1080/00927872.2021.1959923

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