English

Unitary modules for the twisted Heisenberg-Virasoro algebra

Rings and Algebras 2012-01-09 v1

Abstract

In this paper, the conjugate-linear anti-involutions and the unitary irreducible modules of the intermediate series over the twisted Heisenberg-Virasoro algebra are classified respectively. We prove that any unitary irreducible module of the intermediate series over the twisted Heisenberg-Virasoro algebra is of the form Aa,b,c\mathcal{A}_{a,b,c} for aR,b1/2+1R,cC.a\in \mathbb{R}, b\in 1/2+\sqrt{-1}\mathbb{R}, c\in \mathbb{C}.

Keywords

Cite

@article{arxiv.1201.1338,
  title  = {Unitary modules for the twisted Heisenberg-Virasoro algebra},
  author = {Xiufu Zhang and Shaobin Tan},
  journal= {arXiv preprint arXiv:1201.1338},
  year   = {2012}
}