Free nilpotent and nilpotent quadratic Lie algebras
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Universidad de La Rioja
info
ISSN: 0024-3795
Any de publicació: 2017
Volum: 519
Pàgines: 296-326
Tipus: Article
Altres publicacions en: Linear Algebra and Its Applications
Projectes relacionats
2014/00067/001
Resum
In this paper we introduce an equivalence between the category of the t-nilpotent quadratic Lie algebras with d generators and the category of some symmetric invariant bilinear forms over the t-nilpotent free Lie algebra with d generators. Taking into account this equivalence, t-nilpotent quadratic Lie algebras with d generators are classified (up to isometric isomorphisms, and over any field of characteristic zero), in the following cases: d=2 and t≤5, d=3 and t≤3. © 2017 Elsevier Inc.