Generators of simple Lie algebras II
Representation Theory
2008-06-30 v1
Abstract
This paper is a continuation of earlier work on generators of simple Lie algebras in arbitrary characteristic (see arXiv:0708.1711). We show that, in contrast to classical Lie algebras, simple graded Lie algebras of Cartan type S,H or K never enjoy the 'one-and-a-half generation' property. The methods rely on a study of centralisers in Cartan type Lie algebras.
Keywords
Cite
@article{arxiv.0806.4496,
title = {Generators of simple Lie algebras II},
author = {Jean-Marie Bois},
journal= {arXiv preprint arXiv:0806.4496},
year = {2008}
}
Comments
11 pages