8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char $\ne 2, 3$

Fuente: arXiv
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Autores principales: Bazzoni, Giovanni, Rojo, Juan
Formato: Preprint
Publicado: 2025
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author Bazzoni, Giovanni
Rojo, Juan
author_facet Bazzoni, Giovanni
Rojo, Juan
contents We provide a self contained, elementary, and geometrically-flavored classification of $8$-dimensional $2$-step nilpotent Lie algebras over algebraically closed fields of characteristic $\ne 2,3$, using the algebro-geometric arguments from \cite{B} and elementary linear algebra.
format Preprint
id arxiv_https___arxiv_org_abs_2507_14907
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle 8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char $\ne 2, 3$
Bazzoni, Giovanni
Rojo, Juan
Rings and Algebras
17B30, 15A75, 14M15
We provide a self contained, elementary, and geometrically-flavored classification of $8$-dimensional $2$-step nilpotent Lie algebras over algebraically closed fields of characteristic $\ne 2,3$, using the algebro-geometric arguments from \cite{B} and elementary linear algebra.
title 8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char $\ne 2, 3$
topic Rings and Algebras
17B30, 15A75, 14M15
url https://arxiv.org/abs/2507.14907