8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char $\ne 2, 3$
Rings and Algebras
2026-02-06 v3
Abstract
We provide a self contained, elementary, and geometrically-flavored classification of -dimensional -step nilpotent Lie algebras over algebraically closed fields of characteristic , using the algebro-geometric arguments from \cite{B} and elementary linear algebra.
Cite
@article{arxiv.2507.14907,
title = {8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char $\ne 2, 3$},
author = {Giovanni Bazzoni and Juan Rojo},
journal= {arXiv preprint arXiv:2507.14907},
year = {2026}
}
Comments
36 pages, many tables, a few references added. Comments are welcome!