Abelian subalgebras on Lie algebras

Abelian subalgebras play an important role in the study of Lie algebras and their properties and structures. In this paper, the historical evolution of this concept is shown, analyzing the current status for the research on this topic. So, the main results obtained from previous years are indicated...

Descripción completa

Detalles Bibliográficos
Autores: Ceballos González, Manuel, Núñez Valdés, Juan, Tenorio Villalón, Ángel Francisco
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad Loyola Andalucía
Repositorio:Brújula
OAI Identifier:oai:repositorio.uloyola.es:20.500.12412/1136
Acceso en línea:http://hdl.handle.net/20.500.12412/1136
Access Level:acceso abierto
Palabra clave:Lie algebra
Abelian subalgebra
Maximal abelian dimension
Descripción
Sumario:Abelian subalgebras play an important role in the study of Lie algebras and their properties and structures. In this paper, the historical evolution of this concept is shown, analyzing the current status for the research on this topic. So, the main results obtained from previous years are indicated and commented here. Additionally, a list of some related open problems is also given.