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Classification of two and three dimensional Lie super-bialgebras

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arxiv 0901.4471 v4 pith:E3LCCZL4 submitted 2009-01-28 math-ph math.MP

A. Eghbali , A. Rezaei-Aghdam , F. Heidarpour This is my paper · ORCID
classification math-phmath.MP
keywords dimensionalthreeidentitiesobtainsuper-jacobisuperalgebrassuperbialgebrasadjoint
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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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  1. Classification of Six-dimensional Real Nilpotent Lie Bialgebras of Symplectic Type and their Poisson-Lie Groups

    math-ph 2026-07 reject novelty 4.0 of 10

    A claimed complete classification of six-dimensional nilpotent symplectic-type Lie bialgebras, presented as tables with only one worked derivation and with internal inconsistencies in the Poisson-bracket and applicati...

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