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：
JournalofDonghuaUniversity(EnglishEdition) | 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：
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
收藏
页码：125 / 131
页数：7
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