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Metric Lie algebras with maximal isotropic centre

Ines Kath·Martin Olbrich
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Abstract

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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Ines Kath, Martin Olbrich. 2002-10-18. Metric Lie algebras with maximal isotropic centre. https://arxiv.org/abs/math/0209366

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