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 triang...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(?)W)is trivial.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(?)W)is trivial.
