Classification of two and three dimensional Lie superbialgebras

2009/01/31 by A. Eghbali, A. Rezaei-Aghdam, F. Heidarpour · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math-ph #math.MP #msc:17B01 #msc:17B30 #msc:17B62 #msc:17B70

paper · pdf · doi:10.1063/1.3451105

published as J.Math.Phys. 51 (2010) 073503 · 15 pages

openalex publication_date 2010/07/01 · arxiv created 2010/07/19 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Using adjoint representation of Lie superalgebras, we obtain the matrix form of super-Jacobi and mixed super-Jacobi identities of Lie superbialgebras. By direct calculations of these identities, and use of automorphism supergroups of two and three dimensional Lie superalgebras, we obtain and classify all two and three dimensional Lie superbialgebras.

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