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arXiv:1105.2670 [math-ph]AbstractReferencesReviewsResources

Associative and Lie deformations of Poisson algebras

Elisabeth Remm

Published 2011-05-13, updated 2019-03-16Version 2

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.

Comments: 20 pages
Journal: Communications in Mathematics. 20 (2012), no.2, p117 to p136
Categories: math-ph, math.MP, math.RA
Subjects: 17B63, 16E40, 17B50
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