Filiform Lie algebras with low derived length
Rings and Algebras
2020-11-03 v2 Representation Theory
Abstract
We construct, for any integer n greater than or equal to 5, a family of complex filiform Lie algebras with derived length at most 3 and dimension n. We also give examples of n-dimensional filiform Lie algebras with derived length greater than 3.
Cite
@article{arxiv.1907.05656,
title = {Filiform Lie algebras with low derived length},
author = {F. J. Castro-Jiménez and M. Ceballos and J. Núñez},
journal= {arXiv preprint arXiv:1907.05656},
year = {2020}
}
Comments
Statement of Th. 3 improved. References updated