论文摘要
The twisted Heisenberg-Virasoro algebra is the universal central extension of the Lie algebra of differential operators on a circle of order at most one. In this paper, we first study the variety of semi-conformal vectors of the twisted Heisenberg-Virasoro vertex operator algebra, which is a finite set consisting of two nontrivial elements. Based on this property,we also show that the twisted Heisenberg-Virasoro vertex operator algebra is a tensor product of two vertex operator algebras. Moreover, associating to properties of semi-conformal vectors of the twisted Heisenberg-Virasoro vertex operator algebra, we charaterized twisted Heisenberg-Virasoro vertex operator algebras. This will be used to understand the classification problems of vertex operator algebras whose varieties of semi-conformal vectors are finite sets.
论文目录
文章来源
类型: 期刊论文
作者: 程俊芳,楚彦军
来源: 数学季刊(英文版) 2019年02期
年度: 2019
分类: 基础科学
专业: 数学
单位: School of Mathematics and Statistics,Henan University,Institute of Contemporary Mathematics,Henan University
基金: supported by The Key Research Project of Institutions of Higher Education in Henan Province,P.R.China(No.17A11003)
分类号: O152.5
DOI: 10.13371/j.cnki.chin.q.j.m.2019.02.002
页码: 126-137
总页数: 12
文件大小: 232K
下载量: 18
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