Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773220 | Linear Algebra and its Applications | 2017 | 33 Pages |
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 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 tâ¤5, d=3 and tâ¤3.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
P. Benito, D. de-la-Concepción, J. Laliena,