Nilpotent Lie algebras with two centralizer dimensions over a finite field
Rings and Algebras
2024-04-04 v1 Group Theory
Abstract
A result of Barnea and Isaacs states that if is a finite dimensional nilpotent Lie algebra with exactly two distinct centralizer dimensions, then nilpotency class of is either or . In this article, we classify all such finite dimensional -step nilpotent Lie algebras over a finite field.
Cite
@article{arxiv.2208.07676,
title = {Nilpotent Lie algebras with two centralizer dimensions over a finite field},
author = {Rijubrata Kundu and Tushar Kanta Naik and Anupam Singh},
journal= {arXiv preprint arXiv:2208.07676},
year = {2024}
}