Unitary representations for the Schr\"{o}dinger-Virasoro Lie algebra
Rings and Algebras
2012-01-09 v1
Abstract
In this paper, conjugate-linear anti-involutions and unitary Harish-Chandra modules over the Schr\"{o}dinger-Virasoro algebra are studied. It is proved that there are only two classes conjugate-linear anti-involutions over the Schr\"{o}dinger-Virasoro algebra. The main result of this paper is that a unitary Harish-Chandra module over the Schr\"{o}dinger-Virasoro algebra is simply a unitary Harish-Chandra module over the Virasoro algebra.
Keywords
Cite
@article{arxiv.1201.1342,
title = {Unitary representations for the Schr\"{o}dinger-Virasoro Lie algebra},
author = {Xiufu Zhang and Shaobin Tan},
journal= {arXiv preprint arXiv:1201.1342},
year = {2012}
}