The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four
Rings and Algebras
2022-09-15 v1
Abstract
In this paper we generalize the Skjelbred Sund method, used to classify nilpotent Lie algebras, in order to classify triple systems with non zero annihilator. We develop this method with the purpose of classifying nilpotent Lie triple systems, obtaining from it the algebraic classification of the nilpotent Lie triple systems up to dimension four. Additionally, we obtain the geometric classification of the variety of nilpotent Lie triple systems up to dimension four.
Keywords
Cite
@article{arxiv.2209.06403,
title = {The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four},
author = {Hani Abdelwahab and Elisabete Barreiro and Antonio J. Calderón and Amir Fernández Ouaridi},
journal= {arXiv preprint arXiv:2209.06403},
year = {2022}
}