Metric $n$-Lie Algebras

Ruipu Bai, Wanqing Wu, Zhenheng Li

We study the structure of a metric $n$-Lie algebra $\mathcal{G}$ over the complex field $\mathbb{C}$. Let $\mathcal{G}=\mathcal{S}\oplus \mathcal{R}$ be the Levi decomposition, w…