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arXiv · 1911.10957

On Combinatorial Models for Affine Crystals

Cristian Lenart·Adam Schultze
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Abstract

We biject two combinatorial models for tensor products of (single-column) Kirillov-Reshetikhin crystals of any classical type $A-D$: the quantum alcove model and the tableau model. This allows us to translate calculations in the former model (of the energy function, the combinatorial $R$-matrix, etc.) to the latter, which is simpler.

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Cristian Lenart, Adam Schultze. 2019-11-25. On Combinatorial Models for Affine Crystals. https://arxiv.org/abs/1911.10957

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