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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
52/2005

Nilpotent metric Lie algebras of small dimension

Ines Kath

Abstract

In a previous paper (Kath, Olbrich, Math. Z.246, 2004) 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 $\frak l$ with $\dim \frak l'=2$ which are used in this scheme. Furthermore, we classify all nilpotent metric Lie algebras of dimension at most 10.

Received:
27.05.05
Published:
27.05.05
MSC Codes:
53C35, 53C50, 17B05
Keywords:
nilpotent lie algebras, invariant scalar products, indefinite metrics

Related publications

inJournal
2007 Repository Open Access
Ines Kath

Nilpotent metric Lie algebras of small dimension

In: Journal of lie theory, 17 (2007) 1, pp. 41-61