论文标题
彩色hom-lie代数，彩色hom-leibniz代数和彩色omni-hom-lie代数
Color Hom-Lie algebras, color Hom-Leibniz algebras and color omni-Hom-Lie algebras
论文作者
论文摘要
综述了颜色hom-lie代数的表示，并表明存在一系列串联运算符。我们还介绍了与矢量空间和均匀的线性图相关的颜色Omni-hom-lie代数的概念。我们展示了如何表征矢量空间上的常规颜色hom-lie代数结构。此外，表明颜色Omni-Hom-Lie代数的基本代数结构是颜色的Hom-Leibniz代数。
Representations of color Hom-Lie algebras are reviewed, and it is shown that there exist a series of coboundary operators. We also introduce the notion of a color omni-Hom-Lie algebra associated to a vector space and an even invertible linear map. We show how regular color Hom-Lie algebra structures on a vector space can be characterized. Moreover, it is shown that the underlying algebraic structure of the color omni-Hom-Lie algebra is a color Hom-Leibniz algebra.
