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

2024/10/10 by Arias, Juan Camilo, Morales, Oscar, Ramirez, Luis Enrique
#17B10 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2410.08011

Abstract

In this paper we study realizations of highest weight modules for the complex Lie algebra \mathfrakgl_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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