Koszul modules of Kac-Moody Lie algebras
Representation Theory
2022-08-29 v1
Abstract
We introduce Koszul modules associated with (graded) Kac-Moody Lie algebras. We provide a precise criterion for when these modules are of finite length. As an exemplary application we deduce a bound on the dimension of the second graded component for a certain class of graded Kac-Moody Lie algebras. We also provide an exact description of all nilpotent Kac-Moody Koszul modules.
Cite
@article{arxiv.2208.12540,
title = {Koszul modules of Kac-Moody Lie algebras},
author = {Tymoteusz Chmiel},
journal= {arXiv preprint arXiv:2208.12540},
year = {2022}
}