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On the structure of k-Lie algebras

Author:
G Papadopoulos  


Journal:
Classical and Quantum Gravity


Issue Date:
2008


Abstract(summary):

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 Papadopoulos (2008 Preprint arXiv:0804.2662) and Gauntlett and Gutowski (2008 Preprint arXiv:0804.3078), and confirms a conjecture in Figueroa-O'Farrill and Papadopoulos (2002 Preprint math/0211170).


Page:
142002 (4pp)


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