An overview of free nilpotent Lie algebras

Any nilpotent Lie algebra is a quotient of a free nilpotent Lie algebra of the same nilindex and type. In this paper we review some nice features of the class of free nilpotent Lie algebras. We will focus on the survey of Lie algebras of derivations and groups of automorphisms of this class of algeb...

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Detalles Bibliográficos
Autores: Benito, P. [0000-0001-8122-6359], De-La-Concepción, D.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc696ab750603269e81ac8
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc696ab750603269e81ac8
Access Level:acceso abierto
Palabra clave:Automorphism
Derivation
Free nilpotent
Levi subalgebra
Lie algebra
Nilpotent
Representation
Descripción
Sumario:Any nilpotent Lie algebra is a quotient of a free nilpotent Lie algebra of the same nilindex and type. In this paper we review some nice features of the class of free nilpotent Lie algebras. We will focus on the survey of Lie algebras of derivations and groups of automorphisms of this class of algebras. Three research projects on nilpotent Lie algebras will be mentioned.