Gelfand-Tsetlin Crystals of Kostant-Kumar modules
Representation Theory
2024-12-19 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.2412.13659,
title = {Gelfand-Tsetlin Crystals of Kostant-Kumar modules},
author = {Mrigendra Singh Kushwaha},
journal= {arXiv preprint arXiv:2412.13659},
year = {2024}
}
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14 pages