Solvable Complemented Lie Algebras
Rings and Algebras
2011-04-20 v1 Group Theory
Representation Theory
Abstract
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition. The class of such algebras is shown to be a formation whose residual is the ideal closure of the prefrattini subalgebras.
Cite
@article{arxiv.1104.3772,
title = {Solvable Complemented Lie Algebras},
author = {David A. Towers},
journal= {arXiv preprint arXiv:1104.3772},
year = {2011}
}