On simple Lie 2-algebra of toral rank 3
Rings and Algebras
2019-03-04 v1
Abstract
Simple Lie algebras of finite dimension over an algebraically closed field of characteristic 0 or were recently classified. However, the problem over an algebraically closed field of characteristics 2 or 3 there exist only partial results. The first result on the problem of classification of simple Lie algebra of finite dimension over an algebraically closed field of characteristic 2 is that these algebras have absolute toral rank greater than or equal to 2. In this paper we show that there are not simple Lie 2-algebras with toral rank 3 over an algebraically closed field of characteristic 2 and dimension less or equal to 16.
Keywords
Cite
@article{arxiv.1903.00057,
title = {On simple Lie 2-algebra of toral rank 3},
author = {Carlos Rafael Payares Guevara and Jeovanny de Jesus Muentes Acevedo},
journal= {arXiv preprint arXiv:1903.00057},
year = {2019}
}