Nilpotent metric Lie algebras of small dimension

Details Nilpotent metric Lie algebras of small dimension Nilpotent metric Lie algebras of small dimension

2005-05-31

arxiv.org/abs/math/0505688v1

Mathematics

Differential Geometry

27 pages

Scientific paper

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.

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