Isotropic ideals of metric n-Lie algebras

Ruipu Bai; Wanqing Wu; Zhiqi Chen

Isotropic ideals of metric n-Lie algebras

Mathematical Physics 2010-07-06 v1 math.MP

Authors: Ruipu Bai , Wanqing Wu , Zhiqi Chen

Abstract

In this paper, we give a systematic study on isotropic ideals of metric n-Lie algebras. As an application, we show that the center of a non-abelian (n+k)-dimensional metric n-Lie algebra (1< k< n+2), whose center is isotropic, is of dimension k-1. Furthermore, we classify (n+k)-dimensional metric n-Lie algebras for 1< k < n+2.

Keywords

metric n-Lie algebras isotropic ideals center classification

Cite

@article{arxiv.1007.0513,
  title  = {Isotropic ideals of metric n-Lie algebras},
  author = {Ruipu Bai and Wanqing Wu and Zhiqi Chen},
  journal= {arXiv preprint arXiv:1007.0513},
  year   = {2010}
}