Growth of finitely generated simple Lie algebras
Rings and Algebras
2020-07-07 v2
Abstract
We realize any submultiplicative increasing function which is equivalent to a polynomial proportion of itself as the growth function of a finitely generated simple Lie algebra. As an application, we resolve two open problems posed by Petrogradsky on Lie algebras with intermediate growth.
Keywords
Cite
@article{arxiv.2006.14504,
title = {Growth of finitely generated simple Lie algebras},
author = {Be'eri Greenfeld},
journal= {arXiv preprint arXiv:2006.14504},
year = {2020}
}
Comments
Accepted for publication in Proc. AMS