Homδ-Jordan李color代数的Hom-Nijienhuis算子

摘要

通过给出 Homδ-Jordan 李 color 代数的定义，研究其代数结构及 Hom-Nijienhuis 算子。结果表明，一个 Hom-Nijienhuis 算子与一个双线性算子在满足适当条件下能得到一个正则 Homδ-Jordan 李 color 代数形变，且该形变是平凡的。%By giving definition of Homδ-Jordan Lie color algebra,we studied its algebraic structure and Hom-Nijienhuis operator. The results show that a Hom-Nijienhuis operator and a bilinear operator can get a deformation of the regular Hom δ-Jordan Lie color algebra under appropriate conditions.Furthermore,this deformation is trivial.