GRADED MODULES OF GRADED LIE ALGEBRAS OF CARTAN TYPE (Ⅲ)——IRREDUCIBLE MODULES

Over a field of characteristic≠2, 3, all irreducible positive and negative graded modulesof simple Lie algebras L(n) and L(n, m) of Cartan type W, S and H are determined.Further, all irreducible positive and negative filtered modules of L(n, m) are determined.For L,(n), every irreducible negative filtered module is a negative graded module, but thereexist irreducible positive filtered modules which are not graded.