论文标题
基于$ n $ -lie代数的广义表示
On the cohomology based on the generalized representations of $n$-Lie Algebras
论文作者
论文摘要
在本文中，我们在$ n $ -lie代数上定义了新的表示形式，该代数称为广义表示。我们研究了与$ n $ -lie代数的广义表示相对应的共同体理论，并显示了与对应于通常表示的同胞的关系。此外，我们为低维共体提供了计算。
In the present paper, we define the new class of representation on $n$-Lie algebra that is called as generalized representation. We study the cohomology theory corresponding to generalized representations of $n$-Lie algebras and show its relation with the cohomology corresponding to the usual representations. Furthermore, we provide the computation for the low dimensional cocycles.
