Metric Lie algebras with maximal isotropic centre

Details Metric Lie algebras with maximal isotropic centre Metric Lie algebras with maximal isotropic centre

2002-09-26

arxiv.org/abs/math/0209366v2

Mathematics

Differential Geometry

30 pages; minor corrections

Scientific paper

We investigate a certain class of solvable metric Lie algebras. For this purpose a theory of twofold extensions associated to an orthogonal representation of an abelian Lie algebra is developed. Among other things, we obtain a classification scheme for indecomposable metric Lie algebras with maximal isotropic centre and the classification of metric Lie algebras of index 2.

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