The Whittaker Modules Of Loop-Virasoro Algebra

The main purpose of this thesis is to have a throughout research on the Whittaker modules of Loop-Viraroso algebra. We discuss the Whittaker modules of the class infinite dimension algebra which centers is infinite dimension. Presents the definition of such algebras 's Whittaker modules, and obtained some basic properties.The thesis is divided into three chapters:The first chapter introduce the overview of the development of the subject areas and the main work;In the second chapter we difine the Loop-Virasoro algebra Whittaker modules, obtained Whittaker vector features and give proofs; In third chapter we are given some properties of the simple Whittaker module.