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arxiv: 1105.2670 · v2 · pith:LIZDCRGGnew · submitted 2011-05-13 · 🧮 math-ph · math.MP· math.RA

Associative and Lie deformations of Poisson algebras

classification 🧮 math-ph math.MPmath.RA
keywords deformationsalgebraassociativepoissonalgebrasunderlyingconsideringgives
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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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