Algebras of Jordan brackets and generalized Poisson algebras

作者：Kaygorodov Ivan^*

来源：Linear and Multilinear Algebra, 2017, 65(6): 1142-1157.

DOI：10.1080/03081087.2016.1229257

• Poisson algebra
• identity
• algebra of Jordan brackets

We construct bases for free unital generalized Poisson superalgebras and for free unital superalgebras of Jordan brackets. Also, we prove an analogue of Farkas' theorem for PI unital generalized Poisson algebras and PI unital algebras of Jordan brackets. Relations between generic Poisson superalgebras and superalgebras of Jordan brackets are studied.

• 出版日期2017