Free nilpotent and nilpotent quadratic Lie algebras

  1. Benito, P. 1
  2. de-la-Concepción, D. 1
  3. Laliena, J. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Linear Algebra and Its Applications

ISSN: 0024-3795

Año de publicación: 2017

Volumen: 519

Páginas: 296-326

Tipo: Artículo

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DOI: 10.1016/J.LAA.2017.01.007 SCOPUS: 2-s2.0-85009723945 WoS: WOS:000395211300017 GOOGLE SCHOLAR

Otras publicaciones en: Linear Algebra and Its Applications

Proyectos relacionados

Álgebra y superálgebras de Lie. Teoría de Lie no asociativa

2014/00067/001

Resumen

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.