Associative and Lie deformations of Poisson algebras

Details Associative and Lie deformations of Poisson algebras Associative and Lie deformations of Poisson algebras

2011-05-13

arxiv.org/abs/1105.2670v1

Physics

Mathematical Physics

Scientific paper

Considering a Poisson algebra as a non associative algebra satisfying the
Markl-Remm identity, we study deformations of Poisson algebras as deformations
of this non associative algebra. This gives a natural interpretation of
deformations which preserves the underlying associative structure and we study
deformations which preserve the underlying Lie algebra.

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