Description of some families of filiform Lie algebras

In this paper we describe some families of filiform Lie algebras by giving a method which allows to obtain them in any arbitrary dimension n starting from the triple (p, q, m), where m = n and p and q are, respectively, invariants z1 and z2 of those algebras. After obtaining the general law of compl...

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Detalles Bibliográficos
Autores: Echarte Reula, Francisco Javier, Núñez Valdés, Juan, Ramírez López, Francisco
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41619
Acceso en línea:http://hdl.handle.net/11441/41619
Access Level:acceso abierto
Palabra clave:Lie algebra
filiform
invariant
Descripción
Sumario:In this paper we describe some families of filiform Lie algebras by giving a method which allows to obtain them in any arbitrary dimension n starting from the triple (p, q, m), where m = n and p and q are, respectively, invariants z1 and z2 of those algebras. After obtaining the general law of complex filiform Lie algebras corresponding to triples (p, q, m), some concrete examples of this method are shown.