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arXiv · 2409.09328

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

Mrigendra Singh Kushwaha·K. N. Raghavan·Sankaran Viswanath
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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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Mrigendra Singh Kushwaha, K. N. Raghavan, Sankaran Viswanath. 2024-09-14. Crystals for Kostant-Kumar modules of $\widehat{\mathfrak{sl}_2}$. https://arxiv.org/abs/2409.09328

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