Irreducible Modules Of Modular Liesuper Algebra W(1, 1, 1)

In this paper,we consider the presentation of Caftan type Lie superalgebra W(1,1,1)by induced module.In the case of irreducible restricted module of W(1,1,1),we prove that all irreducible modules are induced modules.All isomorphism classes of irreducible restricted modules are p+1,and the dimensions of all irreducible modules are given.In the corestricted case,we consider the height of 0 and 1.All isomorphism classes of height of 0 and 1 are p~2+2 and p~2,and their dimensions are given.