Irreducible Representations of Cartantype Lie Algebras

Abstract:

Let L=X(m,n)(X=W,S,H) be a Lie algebra of Cartan type.Based on the concept of generalized restricted Lie algebras,the paper presents a study of the irreducible representations of Cartantype Lie algbras L and the structure of irreducible modules is determined whose character height is no less than 2 and less than p-2.

Key words:Lie algebras of Cartan type; generalized restricted Lie algebras; characters; irreducible modules