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arXiv · 1604.02923

Free nilpotent and nilpotent quadratic Lie algebras

Pilar Benito·Daniel de-la-Concepción·Jesús Laliena
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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.

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Pilar Benito, Daniel de-la-Concepción, Jesús Laliena. 2017-01-12. Free nilpotent and nilpotent quadratic Lie algebras. https://arxiv.org/abs/1604.02923

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