arXiv:1911.10957 Abstract | arXiv Analytics

arXiv:1911.10957 [math.CO]Abstract References Reviews Resources

On Combinatorial Models for Affine Crystals

Published 2019-11-25Version 1

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.

Categories: math.CO

Keywords: combinatorial models, affine crystals, quantum alcove model, tensor products, tableau model

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