Metric Lie algebras with maximal isotropic centre

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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.
30 pages; minor corrections

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Differential Geometry, Rings and Algebras, Representation Theory, 17B05;53C35;53C50

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http://salesiana.dossiersoluciones.com/handle/123456789/65090

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209366
 http://arxiv.org/abs/math/0209366

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arXiv