Codimensions of identities of solvable Lie superalgebras

Abstract

We study identities of Lie superalgebras over a field of characteristic zero. We construct a series of examples of finite-dimensional solvable Lie superalgebras with a non-nilpotent commutator subalgebra for which PI-exponent of codimension growth exists and is an integer number.

References in corpus (2)

• Graded identities of some simple Lie superalgebras
• Graded codimensions of Lie superalgebra $b(2)$