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arXiv · 0804.3567

On the structure of k-Lie algebras

G. Papadopoulos
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Abstract

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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G. Papadopoulos. 2008-06-13. On the structure of k-Lie algebras. https://doi.org/10.1088/0264-9381%2F25%2F14%2F142002

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