On certain decompositions of solvable Lie algebras
Rings and Algebras
2013-05-06 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
The author has previously shown that solvable Lie A-algebras and complemented solvable Lie algebras decompose as a vector space direct sum of abelian subalgebras, and their ideals relate nicely to this decomposition. However, neither of these classes is contained in the other. The object of this paper is to find a larger class of algebras, containing each of these classes, in which these same results hold.
Keywords
Cite
@article{arxiv.1212.0760,
title = {On certain decompositions of solvable Lie algebras},
author = {David A. Towers},
journal= {arXiv preprint arXiv:1212.0760},
year = {2013}
}