On the codimension growth of almost nilpotent Lie algebras
Rings and Algebras
2016-02-10 v1
Abstract
We study codimension growth of infinite dimensional Lie algebras over a field of characteristic zero. We prove that if a Lie algebra is an extension of a nilpotent algebra by a finite dimensional semisimple algebra then the PI-exponent of exists and is a positive integer.
Cite
@article{arxiv.1602.02940,
title = {On the codimension growth of almost nilpotent Lie algebras},
author = {Dušan Repovš and Mikhail Zaicev},
journal= {arXiv preprint arXiv:1602.02940},
year = {2016}
}