On the structure of k-Lie algebras

Details On the structure of k-Lie algebras On the structure of k-Lie algebras

2008-04-22

arxiv.org/abs/0804.3567v2

Class.Quant.Grav.25:142002,2008

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, minor changes and a reference added

Scientific paper

10.1088/0264-9381/25/14/142002

We show that the structure constants of $k$-Lie algebras, $k>3$, with a
positive definite metric are the sum of the volume forms of orthogonal
$k$-planes. This generalizes the result for $k=3$ in arXiv:0804.2662 and
arXiv:0804.3078, and confirms a conjecture in math/0211170.

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