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.
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.
基金
National Natural Science Foundations of China(No.11001046,No.11201305)
the Fundamental Research Funds for the Central Universities
Foundation of Outstanding Young Teachers of Donghua University,China
Innovation Project of Shanghai Education Committee,China(No.12YZ081)
关键词
数学
数学理论
代数
李群
Lie bialgebras
Yang-Baxter equation
generalizedHeisenberg-Virasoro algebra
