Associative and Lie deformations of Poisson algebras

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Remm, Elisabeth (2011)
  • Subject: 17B63, 16E40, 17B50 | Mathematical Physics | Mathematics - Rings and Algebras

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.
  • References (15)
    15 references, page 1 of 2

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