Classification of a Class of Solvable Real Lie Algebras by using Techniques in Matrix Theory

Autor:	Van, Hieu Ha, Anh, Vu Le, Quang, Hoa Duong
Rok vydání:	2021
Předmět:	Mathematics - Rings and Algebras 17B08 17B30
Druh dokumentu:	Working Paper
Popis:	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. Comment: 13 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.08159 Zobrazit plný text záznamu View this record from Arxiv