On the structure of k-Lie algebras
classification
✦ hep-th
keywords
algebrasarxivstructureconfirmsconjectureconstantsdefiniteforms
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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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