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On Combinatorial Models for Affine Crystals

Published 25 Nov 2019 in math.CO | (1911.10957v1)

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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