Numerical characteristics of varieties of Poisson algebras (Q2416821)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical characteristics of varieties of Poisson algebras |
scientific article |
Statements
Numerical characteristics of varieties of Poisson algebras (English)
0 references
24 May 2019
0 references
The author presents a survey of recent results on varieties of Poisson algebras. In particular, he gives constructions of varieties of Poisson algebras with extremal properties. Also, equivalent conditions for the polynomial codimension growth of a variety of Poisson algebras are presented. Next, the author studies varieties of Poisson algebras satisfying the identity \(\{x,y\}\cdot \{z,t\} = 0\), and connections between such varieties and varieties of Lie algebras.
0 references
Poisson algebra
0 references
Lie identity
0 references
codimension growth
0 references
Poisson identity
0 references
extreme variety
0 references
0 references
