Classification of linearly compact simple Nambu-Poisson algebras

Abstract

We introduce the notion of universal odd generalized Poisson superalgebra associated to an associative algebra A, by generalizing a construction made in [5]. By making use of this notion we give a complete classification of simple linearly compact (generalized) n-Nambu-Poisson algebras over an algebraically closed field of characteristic zero.

22 pages

Cited by in corpus (5)

• Non-associative algebraic structures: classification and structure
• Degenerations of Filippov algebras
• Transposed Poisson structures
• $\frac{1}{2}$-derivations of Lie algebras and transposed Poisson algebras
• The infinite dimensional Unital 3-Lie Poisson algebra