In this paper, Lie bialgebra structures on generalized Virasoro-like algebras are studied. It is proved that all such Lie bialgebras are triangular coboundary.
We explicitly compute the first and second cohomology groups of the SchrSdinger algebra S（1） with coefficients in the trivial module and the finite-dimensional irreducible modules. We also show that the first and se...We explicitly compute the first and second cohomology groups of the SchrSdinger algebra S（1） with coefficients in the trivial module and the finite-dimensional irreducible modules. We also show that the first and second cohomology groups of S（1） with coefficients in the universal enveloping algebras U（S（1）） （under the adjoint action） are infinite dimensional.展开更多
基金Supported by an NSF Grant 10471096 of China,"One Hundred Talents Program"from University of Science and Technology of China and"Trans-Century Training Programme Foundation for the Talents"from National Education Ministry of China
文摘In this paper, Lie bialgebra structures on generalized Virasoro-like algebras are studied. It is proved that all such Lie bialgebras are triangular coboundary.
基金Supported by National Natural Science Foundation of China(Grant No.11271056)Jiangsu Overseas Research & Training Program for University Prominent Young & Middle-aged Teachers and Presidentsthe Fundamental Research Funds for the Central Universities
文摘We explicitly compute the first and second cohomology groups of the SchrSdinger algebra S（1） with coefficients in the trivial module and the finite-dimensional irreducible modules. We also show that the first and second cohomology groups of S（1） with coefficients in the universal enveloping algebras U（S（1）） （under the adjoint action） are infinite dimensional.
