Relaciones entre la estructura de un álgebra de Lie y el retículo de sus ideales

The lattice of ideals of a Lie algebra is closely related with the structure of the algebra. In the first chapter, some classes of Lie algebras are selected. It is studied if their lattices of ideals can determinate their algebraic structures. In the second chapter, two classes of lattices are studied: the complemented lattices and the lattices such their elements are in line. We characterize the Lie algebras of complemented lattice of ideals. As a consequence, it is obtained the reticular determination of the reductive Lie algebras. Finally, we characterize the supersolvable Lie algebras whose ideals are in line.

Grantor dc:publisher

Universidad de Zaragoza (España)

Year dc:date

1989

Author dc:creator

• Benito Clavijo, María del Pilar

Contributors dc:contributor

• Varea Agudo, Vicente Ramón (Universidad de Zaragoza)

• algebra de Lie
• reticulo de ideales
• algebras no asociativas
• nonassociative rings and algebras
• Lie algebras
• lattices

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Language dc:language

spa

Repository record dc:identifier

https://dialnet.unirioja.es/servlet/oaites?codigo=1366

OAI identifier oai:identifier

oai:dialnet.unirioja.es:TES0000000985