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...

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Detalhes bibliográficos
Autores: Ceballos González, Manuel, Núñez Valdés, Juan, Tenorio Villalón, Ángel Francisco
Tipo de documento: artigo
Data de publicação:2015
País:España
Recursos:Universidad Loyola Andalucía
Repositório:Brújula
OAI Identifier:oai:repositorio.uloyola.es:20.500.12412/1136
Acesso em linha:http://hdl.handle.net/20.500.12412/1136
Access Level:Acceso aberto
Palavra-chave:Lie algebra
Abelian subalgebra
Maximal abelian dimension
Descrição
Resumo: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.