Product And Complex Structures On Lie Color Algebras

In this thesis,we study the product structures and complex structures on Lie color algebras.Firstly,we give the necessary and sufficient conditions for the existences of product structures and complex structures and the relationships between product structures and complex structures on Lie color algebras,respectively.Then we study special product structures and complex structures.Also,we discuss the curvature tensor and pseudo Riemannian metric on Lie color algebras.Finally,we give para-K(?)hler structures and K(?)hler structures on Lie color algebras and some properties.