• Corpus ID: 117709606

Associative and Lie deformations of Poisson algebras

  title={Associative and Lie deformations of Poisson algebras},
  author={Elisabeth Remm},
  journal={Communications in Mathematics},
  • Elisabeth Remm
  • Published 13 May 2011
  • Mathematics
  • Communications in Mathematics
Considering a Poisson algebra as a nonassociative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this nonassociative algebra. We give a natural interpretation of deformations which preserve the underlying associative structure and of deformations which preserve the underlying Lie algebra and we compare the associated cohomologies with the Poisson cohomology parametrizing the general deformations of Poisson algebras. 

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