English

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

Representation Theory 2026-02-20 v2

Abstract

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

Keywords

Cite

@article{arxiv.2410.08011,
  title  = {Highest weight modules with respect to non-standard Gelfand-Tsetlin subalgebras},
  author = {Juan Camilo Arias and Oscar Morales and Luis Enrique Ramirez},
  journal= {arXiv preprint arXiv:2410.08011},
  year   = {2026}
}