Modules over the Heisenberg-Virasoro and $W(2,2)$ algebras
Representation Theory
2020-11-18 v2
Abstract
In this paper, we consider the modules for the Heisenberg-Virasoro algebra and the W algebra . We determine the modules whose restriction to the Cartan subalgebra (modulo center) are free of rank for the two algebras. We also determine the simplicity of these modules. These modules provide new simple modules for the W algebra .
Cite
@article{arxiv.1401.4670,
title = {Modules over the Heisenberg-Virasoro and $W(2,2)$ algebras},
author = {Hongjia Chen and Xiangqian Guo},
journal= {arXiv preprint arXiv:1401.4670},
year = {2020}
}