Geodesic
An overview of free nilpotent Lie algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 3, pp. 325-339

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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.
Classification : 17B10, 17B30
Keywords: Lie algebra; Levi subalgebra; nilpotent; free nilpotent; derivation; automorphism; representation 
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     title = {An overview of free nilpotent {Lie} algebras},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2014__55_3_a4/}
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Benito, Pilar; de-la-Concepción, Daniel. An overview of free nilpotent Lie algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 3, pp. 325-339. http://geodesic.mathdoc.fr/item/CMUC_2014__55_3_a4/