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.