In this paper, the structure of higher nonabelian omni-Lie algebroid is studied. The concept of higher nonabelian omni-Lie algebroids on direct sum bundle $\mathfrak{D}E\oplus {\wedge }^n\mathfrak{J}E$ is introduced, and its related properties are given. It is concluded that the Pre-Dirac structures of higher nonabelian omni-Lie algebroid and n-Lie algebroid have a one-to-one correspondence. By analyzing the matched pair of Leibniz algebroids, it is concluded that higher nonabelian omni-Lie algebroid $\mathfrak{D}E\oplus {\wedge }^n\mathfrak{J}E$ can be regarded as a matched pair of two Leibniz algebroids $\mathfrak{D}E$ and ${\wedge }^n\mathfrak{J}E$. From the geometric point of view, higher nonabelian omni-Lie algebroid can be regarded as Weinstein linearization of higher analogue of Courant algebroid associated to Nambu-Poisson manifolds.

本文研究了高级非阿贝尔全向李代数的结构。直接和束上的高级Nonabelian omni-Lie代数的概念$\mathfrak{d}E\oplus {\wedge }^{ñ}\mathfrak{Ĵ}E$介绍了它，并给出了它的相关属性。结论是，高级非阿贝尔全能李-代数和n-李代数的Pre-Dirac结构具有一一对应的关系。通过分析配对的莱布尼兹代数，可以得出更高阶的非阿贝尔全向李代数$\mathfrak{d}E\oplus {\wedge }^{ñ}\mathfrak{Ĵ}E$ 可以看作是两个莱布尼兹代数的配对 $\mathfrak{d}E$ 和 ${\wedge }^{ñ}\mathfrak{Ĵ}E$。从几何学的角度来看，高级的非阿贝尔全向李代数可以看作与Nambu-Poisson流形相关的库兰特代数的高级类似物的Weinstein线性化。