Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra

被引：18

作者：

Liu, Dong ^{[1
]}

Pei, Yufeng ^{[2
]}

Zhu, Linsheng ^{[3
]}

机构：

[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

来源：

JOURNAL OF ALGEBRA | 2012年 / 359卷

关键词：

Lie bialgebra; Yang-Baxter equation; Twisted Heisenberg-Virasoro algebra; WITT; CLASSIFICATION;

D O I：

10.1016/j.jalgebra.2012.03.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：35 / 48

页数：14

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