论文标题
差分3-lie代数的表示和共同体
Representations and cohomologies of differential 3-Lie algebras with any weight
论文作者
论文摘要
本文的目的是研究具有任何权重的差分3-lie代数的表示和共同体。我们介绍了差分3-Lie代数的表示。此外，我们发展了差分3-Lie代数的共同体学理论。我们还描述了差异3-Lie代数的共同体与其相关的差异莱布尼兹代数与重量为零之间的关系。还研究了差分3-LIE代数的变形和O-操作员。最后，我们考虑了差分3-lie代数的亚伯扩展。
The purpose of the present paper is to study representations and cohomologies of differential 3-Lie algebras with any weight. We introduce the representation of a differential 3-Lie algebra. Moreover,we develop cohomology theory of a differential 3-Lie algebra. We also depict the relationship between the cohomologies of a differential 3-Lie algebra and its associated differential Leibniz algebra with weight zero. The deformation and O-operator of differential 3-Lie algebras are also investigated. Finally, we consider abelian extensions of differential 3-Lie algebras.
