Associative and Lie deformations of Poisson algebras
Mathematical Physics
2019-03-19 v2 math.MP
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1105.2670,
title = {Associative and Lie deformations of Poisson algebras},
author = {Elisabeth Remm},
journal= {arXiv preprint arXiv:1105.2670},
year = {2019}
}
Comments
20 pages