On identities of infinite dimensional Lie superalgebras
Rings and Algebras
2016-02-22 v1
Abstract
We study codimension growth of infinite dimensional Lie superalgebras over an algebraically closed field of characteristic zero. We prove that if a Lie superalgebra is a Grassmann envelope of a finite dimensional simple Lie algebra then the PI-exponent of exists and it is a positive integer.
Keywords
Cite
@article{arxiv.1602.06085,
title = {On identities of infinite dimensional Lie superalgebras},
author = {Dušan Repovš and Mikhail Zaicev},
journal= {arXiv preprint arXiv:1602.06085},
year = {2016}
}