Graded PI-exponents of simple Lie superalgebras

Abstract

We study ${\mathbb{Z}}_2$-graded identities of simple Lie superalgebras over a field of characteristic zero. We prove the existence of the graded PI-exponent for such algebras.

References in corpus (3)

• Graded identities of some simple Lie superalgebras
• A four-dimensional simple algebra with fractional PI-exponent
• Graded codimensions of Lie superalgebra $b(2)$

Cited by in corpus (2)

• Pauli gradings on Lie superalgebras and graded codimension growth
• Identities of graded simple algebras