Modular Representations Of The Witt Superalgebra W(3)

Let K be an algebraically closed field of characteristic p>3, W(3) be the superderiva-tions of the grassmann algebra over K. The irreducible representations of W(3) has two cases:restricted and non-restricted. In this dissertation, we judge the necessary condition which makes the Kx(λ) simple when the p-characteristic function χ is regular nilpotent by induced module.