Identities and derivations for Jacobian algebras

Abstract

Constructions of n-Lie algebras by strong n-Lie-Poisson algebras are given. First cohomology groups of adjoint module of Jacobian algebras are calculated. Minimal identities of 3-Jacobian algebra are found.

40 pages, LaTeX

References in corpus (1)

• On Foundation of the Generalized Nambu Mechanics

Cited by in corpus (4)

• n-ary algebras: a review with applications
• Classification of simple linearly compact n-Lie superalgebras
• Classification of linearly compact simple Nambu-Poisson algebras
• Constructing 3-Lie algebras