Associative and Lie deformations of Poisson algebras

Physics – Mathematical Physics

Scientific paper

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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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