An overview of free nilpotent Lie algebras

  1. Benito, P. 1
  2. De-La-Concepción, D. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Commentationes Mathematicae Universitatis Carolinae

ISSN: 1213-7243

Year of publication: 2014

Volume: 55

Issue: 3

Pages: 325-339

Type: Article

Institutional repository: lock_openOpen access editor

Abstract

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.