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- W2007403855 abstract "In an article by Michaelis, a class of infinite-dimensional Lie bialgebras containing the Virasoro algebra was presented. This type of Lie bialgebras was classified by Ng and Taft. In a recent article by Song and Su, Lie bialgebra structures on graded Lie algebras of generalized Witt type with finite dimensional homogeneous components were considered. In this article we consider Lie bialgebra structures on the graded Lie algebras of generalized Witt type with infinite dimensional homogeneous components. By proving that the first cohomology group H1(𝒲, 𝒲 ⊗ 𝒲) is trivial for any graded Lie algebras 𝒲 of generalized Witt type with infinite dimensional homogeneous components, we obtain that all such Lie bialgebras are triangular coboundary." @default.
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- W2007403855 date "2007-05-29" @default.
- W2007403855 modified "2023-09-23" @default.
- W2007403855 title "Lie Bialgebras of Generalized WITT Type, II" @default.
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- W2007403855 doi "https://doi.org/10.1080/00927870701247187" @default.
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