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Lie bialgebras of generalized Virasoro-like type

2005/12/25 by Yuezhu Wu, Guang’ai Song, Wu, Yuezhu +4
Mathematics · Physics and Astronomy · #17B05 #17B37 #17B62 #17B66 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #math.AC #math.AG #msc:17B05 #msc:17B37 #msc:17B62 #msc:17B66

paper · pdf · doi:10.48550/arxiv.math/0512555

LaTeX, 11 pages

openalex publication_date 2005/12/25 · arxiv created 2006/08/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In two recent papers by the authors, all Lie bialgebra structures on Lie algebras of generalized Witt type are classified. In this paper all Lie bialgebra structures on generalized Virasoro-like algebras are determined. It is proved that all such Lie bialgebras are triangular coboundary.

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