Weight modules over exp-polynomial Lie algebras
Representation Theory
2007-05-23 v1
Abstract
In this paper, we generalize a result by Berman and Billig on weight modules over Lie algebras with polynomial multiplication. More precisely, we show that a highest weight module with an exp-polynomial ``highest weight'' has finite dimensional weight spaces. We also get a class of irreducible weight modules with finite dimensional weight spaces over generalized Virasoro algebras which do not occur over the classical Virasoro algebra.
Cite
@article{arxiv.math/0305293,
title = {Weight modules over exp-polynomial Lie algebras},
author = {Yuly Billig and Kaiming Zhao},
journal= {arXiv preprint arXiv:math/0305293},
year = {2007}
}