English

Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra

Representation Theory 2019-08-09 v1

Abstract

In this paper, all irreducible weight modules with finite dimensional weight spaces over the twisted Heisenberg-Virasoro algebra are determined. There are two different classes of them. One class is formed by simple modules of intermediate series, whose weight spaces are all 1-dimensional; the other class consists of the irreducible highest weight modules and lowest weight modules.

Keywords

Cite

@article{arxiv.math/0510194,
  title  = {Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra},
  author = {Rencai Lu and Kaiming Zhao},
  journal= {arXiv preprint arXiv:math/0510194},
  year   = {2019}
}

Comments

23 pages