Cartan型李代数的不可约表示

Irreducible Representations of Cartantype Lie Algebras

摘要:

利用广义限制李代数的概念和性质,研究Cartan型李代数L=X(m,n)(X=W,S,H)的不可约表示,给出了特征标高度h(2≤h

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.