The Exchanged Post-Lie Algebra Structure On Some Lie Algebras

We study the structures of module derivation algebras on the Witt algebra and W(2,2)algebra.Then,we determine commutative Post-Lie algebra structures(CPA structure)on the Witt algebra and W(2,2)algebra.In chapter 1,we introduce the main meaning of subject.We introduce the development prospect and trend at domestic and foreign.In chapter 2,we introduce the definitions for subsequent content.In chapter 3,we characterize the module derivation algebra structure on Witt algebra.In chapter 4,we characterize the module derivation algebra structure on W(2,2)algebra.In chapter 5,we obtain the CPA structures on Witt algebra and W(2,2)algebra.