Gelfand-Tsetlin modules for Lie algebras of rank $2$
Representation Theory
2025-01-10 v4
Abstract
We explicitly construct families of simple modules for Lie algebras of rank , on which certain commutative subalgebra acts diagonally and has a simple spectrum. In type these modules are well known generic Gelfand-Tsetlin modules and they can be viewed as such for other rank Lie algebras.
Keywords
Cite
@article{arxiv.2402.00483,
title = {Gelfand-Tsetlin modules for Lie algebras of rank $2$},
author = {Milica Anđelić and Carlos M. da Fonseca and Vyacheslav Futorny and Andrew Tsylke},
journal= {arXiv preprint arXiv:2402.00483},
year = {2025}
}