Sub-structure And Properties Of A Class Of Infinite Dimensional Lie Algebra

The Generalized Witt algebra is a very important kind of infinite dimensional Lie algebra, There have been many important results until now.A kind of generalized Witt algebra will be studied in this paper. The following three parts are obtained.Some important results of the Witt algebra are introduced in the first chapter.The substructure of the generalized Witt algebra is researched in the second chapter.The limited substructure of the generalized Witt algebra is researched in the last chapter.