Classification of 5-Dimensional MD-Algebras Having Non-Commutative Derived Ideals
Representation Theory
2012-02-10 v2
Abstract
The paper presents a subclass of the class of MD5-algebras and MD5-groups, i.e. five dimensional solvable Lie algebras and Lie groups such that their orbits in the co-adjoint representation (K-orbits) are orbits of zero or maximal dimension. The main result of the paper is the classification up to an isomorphism of all MD5-algebras with the non-commutative derived ideal. With this result, we have the complete classification of 5-dimensional solvable Lie algebras.
Keywords
Cite
@article{arxiv.1101.2181,
title = {Classification of 5-Dimensional MD-Algebras Having Non-Commutative Derived Ideals},
author = {Le Anh Vu and Ha Van Hieu and Tran Thi Hieu Nghia},
journal= {arXiv preprint arXiv:1101.2181},
year = {2012}
}
Comments
9 pages, no figures