Free Nilpotent Lie Algebras Admitting Ad-Invariant Metrics
Rings and Algebras
2012-06-19 v2
Abstract
In this work we find necessary and sufficient conditions for a free nilpotent or a free metabelian nilpotent Lie algebra to be endowed with an ad-invariant metric. For such nilpotent Lie algebras admitting an ad-invariant metric the corresponding automorphisms groups are studied.
Keywords
Cite
@article{arxiv.1104.4773,
title = {Free Nilpotent Lie Algebras Admitting Ad-Invariant Metrics},
author = {Gabriela Ovando and Viviana del Barco},
journal= {arXiv preprint arXiv:1104.4773},
year = {2012}
}