Crystals for Kostant-Kumar modules of \widehat\mathfraksl₂

2024/09/14 by Kushwaha, Mrigendra Singh, Raghavan, K. N., Viswanath, Sankaran
#17B10 #17B67 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2409.09328

Abstract

We consider the affine Lie algebra \widehat\mathfraksl₂ 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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