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arXiv · 2410.08011

Highest weight modules with respect to non-standard Gelfand-Tsetlin subalgebras

Juan Camilo Arias·Oscar Morales·Luis Enrique Ramirez
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Abstract

In this paper we study realizations of highest weight modules for the complex Lie algebra $\mathfrak{gl}_n$ with respect to non-standard Gelfand-Tsetlin subalgebras. We also provide sufficient conditions for such subalgebras to have a diagonalizable action on these realizations.

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Juan Camilo Arias, Oscar Morales, Luis Enrique Ramirez. 2024-10-10. Highest weight modules with respect to non-standard Gelfand-Tsetlin subalgebras. https://arxiv.org/abs/2410.08011

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