Mrigendra Singh Kushwaha, K. N. Raghavan, Sankaran Viswanath
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Crystals for Kostant-Kumar modules of $\widehat{\mathfrak{sl}_2}$
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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