论文标题
nijenhuis运营商在3-HOM-L dendriform代数上
Nijenhuis Operators on 3-Hom-L-dendriform algebras
论文作者
论文摘要
这项工作的目的是介绍$ 3 $ -HOM-LIE-LIE DENDRIFRIST代数的概念，该代数是$ 3 $ -HOM-LIE-LIE-ALGEBRAS的树突状版本。它们也可以被视为hom-lie dendriform代数的三元类似物。我们给出了$ 3 $ -HOM-pre-lie代数的代表。此外，我们在$ 3 $ -HOM-pre-lie代数上介绍了Nijenhuis运营商的概念，并在Nijenhuis Operators任期内提供了一些$ 3 $ -HOM-HOM-LIE-LIE-DENDRIFRIST代数。可行，我们在$ 3 $ -HOM-LIE-LIE DENDRIFIRS代数上介绍了产品和复杂结构的概念，也有四种特殊的集成性条件。
The goal of this work is to introduce the notion of $3$-Hom-Lie-dendriform algebras which is the dendriform version of $3$-Hom-Lie-algebras. They can be also regarded as the ternary analogous of Hom-Lie-dendriform algebras. We give the representation of a $3$-Hom-pre-Lie algebra. Moreover, we introduce the notion of Nijenhuis operators on a $3$-Hom-pre-Lie algebra and provide some constructions of $3$-Hom-Lie-dendriform algebras in term of Nijenhuis operators. Parallelly, we introduce the notion of a product and complex structures on a $3$-Hom-Lie-dendriform algebras and there are also four types special integrability conditions.
