Omni $n$ -李代数与Courant代数胚的高阶类似的线性化
Omni $n$-Lie algebras and linearization of higher analogues of Courant algebroids
摘要：
本文引入了全$n$ -李代数的概念，并证明了它们是标准Courant代数胚的高阶类似的线性化.我们还介绍了一个nonabel的omni $n$ -李代数的概念，并表明它们是线性化的高级类似的Courant代数体与Nambu-Poisson流形。
英文摘要：
In this paper, we introduce the notion of an omni $n$-Lie algebra and show that they are linearization of higher analogues of standard Courant algebroids. We also introduce the notion of a nonabelian omni $n$-Lie algebra and show that they are linearization of higher analogues of Courant algebroids associated to Nambu-Poisson manifolds.
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