An overview of free nilpotent Lie algebras

Pilar Benito; Daniel de-la-Concepción

Commentationes Mathematicae Universitatis Carolinae (2014)

  • Volume: 55, Issue: 3, page 325-339
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Benito, Pilar, and de-la-Concepción, Daniel. "An overview of free nilpotent Lie algebras." Commentationes Mathematicae Universitatis Carolinae 55.3 (2014): 325-339. <http://eudml.org/doc/261867>.

@article{Benito2014,
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.},
author = {Benito, Pilar, de-la-Concepción, Daniel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lie algebra; Levi subalgebra; nilpotent; free nilpotent; derivation; automorphism; representation; Lie algebra; Levi subalgebra; nilpotent; free nilpotent; derivation; automorphism; representation},
language = {eng},
number = {3},
pages = {325-339},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An overview of free nilpotent Lie algebras},
url = {http://eudml.org/doc/261867},
volume = {55},
year = {2014},
}

TY - JOUR
AU - Benito, Pilar
AU - de-la-Concepción, Daniel
TI - An overview of free nilpotent Lie algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2014
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 55
IS - 3
SP - 325
EP - 339
AB - 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.
LA - eng
KW - Lie algebra; Levi subalgebra; nilpotent; free nilpotent; derivation; automorphism; representation; Lie algebra; Levi subalgebra; nilpotent; free nilpotent; derivation; automorphism; representation
UR - http://eudml.org/doc/261867
ER -

References

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