Classification of two and three dimensional Lie super-bialgebras

Details Classification of two and three dimensional Lie super-bialgebras Classification of two and three dimensional Lie super-bialgebras

2009-01-28

arxiv.org/abs/0901.4471v4

J.Math.Phys. 51 (2010) 073503

Physics

Mathematical Physics

15 pages

Scientific paper

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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