Classification of a Class of Solvable Real Lie Algebras by using Techniques in Matrix Theory
Rings and Algebras
2021-09-13 v2
Abstract
We give a complete classification of the class of Lie algebras of simply connected real Lie groups whose nontrivial coadjoint orbits are of codimension 1. Such a Lie group belongs to a well-known class, called the class of MD-groups. The Lie algebra of an MD-group is called an MD-algebra. Some interest properties of MD-algebras will be investigated as well. The techniques used in this paper is elementary techniques in matrix theory and available to apply to more general cases.
Keywords
Cite
@article{arxiv.2108.08159,
title = {Classification of a Class of Solvable Real Lie Algebras by using Techniques in Matrix Theory},
author = {Hieu Ha Van and Vu Le Anh and Hoa Duong Quang},
journal= {arXiv preprint arXiv:2108.08159},
year = {2021}
}
Comments
13 pages, no figures