论文标题
n-hom-lie颜色代数的同时和形式变形
Cohomology and formal deformations of n-Hom-Lie color algebras
论文作者
论文摘要
本文的目的是提供$ n $ -hom-lie color代数的共同体，管理一个参数形式变形。然后，我们研究了$ n $ hom-lie color代数的形式变形，并在$ n $ n $ -hom-lie color代数上介绍了nijenhuis操作员的概念，这可能会引起无限的琐碎$（N-1）$ - 订单变形。此外，与Nijenhuis运营商有关，我们介绍并讨论了$ n $ -hom-hom-lie color代数的产品结构的概念。
The aim of this paper is to provide a cohomology of $n$-Hom-Lie color algebras governing one parameter formal deformations. Then, we study formal deformations of a $n$-Hom-Lie color algebra and introduce the notion of Nijenhuis operator on an $n$-Hom-Lie color algebra, which could give rise to infinitesimally trivial $(n-1)$-order deformations. Furthermore, in connection with Nijenhuis operators we introduce and discuss the notion of a product structure on $n$-Hom-Lie color algebras.
