In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved that, for any Lie algebra W of generalized Witt type, all Lie bialgebras on W are the coboundary tr...In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved that, for any Lie algebra W of generalized Witt type, all Lie bialgebras on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first cohomology group H1(W, W (x) W) is trivial.展开更多
In this paper,the structures of dual Lie bialgebras of twisted SchrSdinger-Virasoro type are investigated.By studying the maximal good subspaces,we determine the dual Lie coalgebras of the twisted SchrSdinger-Virasoro...In this paper,the structures of dual Lie bialgebras of twisted SchrSdinger-Virasoro type are investigated.By studying the maximal good subspaces,we determine the dual Lie coalgebras of the twisted SchrSdinger-Virasoro algebras.Then based on this,we construct the dual Lie bialgebra structures of this type.As by-products,four new infinite dimensional Lie algebras are obtained.展开更多
文摘In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved that, for any Lie algebra W of generalized Witt type, all Lie bialgebras on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first cohomology group H1(W, W (x) W) is trivial.
文摘In this paper,the structures of dual Lie bialgebras of twisted SchrSdinger-Virasoro type are investigated.By studying the maximal good subspaces,we determine the dual Lie coalgebras of the twisted SchrSdinger-Virasoro algebras.Then based on this,we construct the dual Lie bialgebra structures of this type.As by-products,four new infinite dimensional Lie algebras are obtained.
