On Combinatorial Models for Affine Crystals

2019/11/25 by Lenart, Cristian, Schultze, Adam
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.10957

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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