Free nilpotent and nilpotent quadratic Lie algebras
Rings and Algebras
2017-01-13 v2
Abstract
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 on 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 isomorphism, and over any field of characteristic zero), in the following cases: d=2 and t<6, d=3 and t<4.
Keywords
Cite
@article{arxiv.1604.02923,
title = {Free nilpotent and nilpotent quadratic Lie algebras},
author = {Pilar Benito and Daniel de-la-Concepción and Jesús Laliena},
journal= {arXiv preprint arXiv:1604.02923},
year = {2017}
}
Comments
32 pages