Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra

被引：1

作者：

申冉 ^{[1
]}

陈海波 ^{[1
,2
]}

张建刚 ^{[3
]}

机构：

[1] College of Science,Donghua University

[2] Mathematics & Science College,Shanghai Normal University

来源：

Journal of Donghua University(English Edition) | 2013年 / 30卷 / 02期

基金：

中央高校基本科研业务费专项资金资助;

关键词：

Lie bialgebras; Yang-Baxter equation; generalized Heisenberg-Virasoro algebra;

D O I：

10.19884/j.1672-5220.2013.02.008

中图分类号：

O152.5 [李群];

学科分类号：

070104 ;

摘要：

In a recent article by Liu,Pei,and Zhu,Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra were determined. By disposing the indexing set, the generalized Heisenberg-Virasoro algebra was considered. It is proved that all Lie bialgebra structures on centerless generalized Heisenberg-Virasoro algebra L are coboundary triangular by proving that the first cohomology group H1 (L,V) =0.

引用

页码：125 / 131

页数：7

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