Representations Of The Restricted Cartan Type Lie Superalgebra W (1, N, 1)

Let g= W(1, n,1) be the Witt type Lie superalgebra over an algebraically closed field F of characteristic p> 2. The aim of this paper is to determine the character formulas and dimensions for a class of restricted irreducible g-modules. With the aid of Jantzen's u(g) - T module category, we determine the character formulas for a class of irreducible restricted g-modules, Furthermore, we give the dimensions of those irreducible restricted modules.