Crystals for Kostant-Kumar modules of $\widehat{\mathfrak{sl}_2}$

Published 14 Sep 2024 in math.RT | (2409.09328v1)

Abstract: We consider the affine Lie algebra $\widehat{\mathfrak{sl}_2}$ and the Kostant-Kumar submodules of tensor products of its level 1 highest weight integrable representations. We construct crystals for these submodules in terms of the charged partitions model and describe their decomposition into irreducibles.

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