On the structure of k-Lie algebras

被引：33

作者：

Papadopoulos, G. ^{[1
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

CLASSICAL AND QUANTUM GRAVITY | 2008年 / 25卷 / 14期

关键词：

D O I：

10.1088/0264-9381/25/14/142002

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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).

引用

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