Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra

JOURNAL OF ALGEBRA

卷:359

Article

Liu, Dong¹  Pei, Yufeng²  Zhu, Linsheng³ 

[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Zhejiang, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[3] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China

关键词: Lie bialgebra;    Yang-Baxter equation;    Twisted Heisenberg-Virasoro algebra;   

DOI  :  10.1016/j.jalgebra.2012.03.009

来源: Elsevier

【 摘 要 】

In this paper we investigate Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra. With the determination of certain Lie bialgebra structures on the Virasoro algebra, we determine certain structures on the twisted Heisenberg-Virasoro algebra. Moreover, some general and useful results are obtained. With our methods and results we also can easily determine certain structures on some Lie algebras related to the twisted Heisenberg-Virasoro algebra. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free