Lie super-bialgebra structures on a class of generalized super W-algebra \mathfrakL

2017/03/16 by Hao Wang, Wang, Hao, Huanxia Fa +3
Mathematics · Physics and Astronomy · #17B10 #17B65 #17B68 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1703.05432

openalex publication_date 2017/03/16 · openalex created_date 2017/05/12 · openalex updated_date 2026/07/28

Abstract

In this paper, Lie super-bialgebra structures on a class of generalized super W-algebra \mathfrakL are investigated. By proving the first cohomology group of \mathfrakL with coefficients in its adjoint tensor module is trivial, namely, H¹(\mathfrakL,\mathfrakL⊗ \mathfrakL)=0, we obtain that all Lie super-bialgebra structures on \mathfrakL are triangular coboundary.

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