Metric Lie algebras with maximal isotropic centre
Differential Geometry
2007-05-23 v2 Rings and Algebras
Representation Theory
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.
Cite
@article{arxiv.math/0209366,
title = {Metric Lie algebras with maximal isotropic centre},
author = {Ines Kath and Martin Olbrich},
journal= {arXiv preprint arXiv:math/0209366},
year = {2007}
}
Comments
30 pages; minor corrections