Quadratic 2-step Lie algebras: Computational algorithms and classification
Rings and Algebras
2023-07-11 v1
Abstract
Taking into account the theoretical results and guidelines given inthis work, we introduce a computational method to construct any 2 step nilpotent quadratic algebra of d generators. Along the work we show that the key of the classification of this class of metric algebras relies on certain families of skewsymmetric matrices. Computational examples for d<=8 will be given.
Cite
@article{arxiv.1803.00934,
title = {Quadratic 2-step Lie algebras: Computational algorithms and classification},
author = {Pilar Benito and Daniel de-la-Concepción and Jorge Roldán-López and Iciar Sesma},
journal= {arXiv preprint arXiv:1803.00934},
year = {2023}
}
Comments
22 pages