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arXiv · 2412.13659

Gelfand-Tsetlin Crystals of Kostant-Kumar modules

Mrigendra Singh Kushwaha
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Abstract

We give Gelfand-Tsetlin crystals for the Kostant-Kumar modules for the finite simple Lie algebra of type A. Kostant-Kumar modules are cyclic submodules of the tensor product of two irreducible highest weight modules of a symmetrizable Kac-Moody Lie algebras. In this case (type A), we also provide a polytopal model for Kostant-Kumar modules in terms of BiKogan faces.

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BibTeXRIS

Mrigendra Singh Kushwaha. 2024-12-18. Gelfand-Tsetlin Crystals of Kostant-Kumar modules. https://arxiv.org/abs/2412.13659

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