Local Systems Of Vertex Algebras Over A Field Of Prime Characteristic

Vertex algebra is a very popular researching area.Researches on vertex algebras mainly focus on complex number field.However,researches on vertex algebras over a field of prime characteristic are still on the early stage.Local systems theory is an important tool in the study of the structure and representation theory of characteristic zero vertex algebras.In this thesis,local systems theory for vertex algebras over a field of prime characteristic is studied,by using the idea and method of prime characteristic,generalized the main results of the local systems theory from characteristic zero to prime characteristic,and obtain similar results.