Associative and Lie deformations of Poisson algebras
Abstract
Considering a Poisson algebra as a non associative algebra satisfying the MarklRemm 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.
 Publication:

arXiv eprints
 Pub Date:
 May 2011
 arXiv:
 arXiv:1105.2670
 Bibcode:
 2011arXiv1105.2670R
 Keywords:

 Mathematical Physics;
 Mathematics  Rings and Algebras;
 17B63;
 16E40;
 17B50
 EPrint:
 20 pages