Nilpotent metric Lie algebras of small dimension
Differential Geometry
2014-02-28 v2 Representation Theory
Abstract
In math.DG/0312243 we developed a general classification scheme for metric Lie algebras, i.e. for finite-dimensional Lie algebras equipped with a non-degenerate invariant inner product. Here we determine all nilpotent Lie algebras l with dim l'=2 which are used in this scheme. Furthermore, we classify all nilpotent metric Lie algebras of dimension at most 10.
Keywords
Cite
@article{arxiv.math/0505688,
title = {Nilpotent metric Lie algebras of small dimension},
author = {Ines Kath},
journal= {arXiv preprint arXiv:math/0505688},
year = {2014}
}
Comments
27 pages, corrections to Prop. 6 and Theorem 1 (classification list)