English

On the structure of k-Lie algebras

High Energy Physics - Theory 2008-11-26 v2

Abstract

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

Keywords

Cite

@article{arxiv.0804.3567,
  title  = {On the structure of k-Lie algebras},
  author = {G. Papadopoulos},
  journal= {arXiv preprint arXiv:0804.3567},
  year   = {2008}
}

Comments

4 pages, minor changes and a reference added