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Associative and Lie deformations of Poisson algebras
Published 13 May 2011 in math-ph, math.MP, and math.RA | (1105.2670v2)
Abstract: 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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