Abstract
Let k be an algebraically closed field of characteristic p > 3 , and W ( n ) the superversion of the Witt algebra over k , i.e. the Lie superalgebra of superderivations of the Grassmann algebra of rank n over k . The simple modules and projective indecomposable modules in the restricted supermodule category for W ( n ) are studied. The character formulas for such simple modules are given, and the Cartan invariants for this category are presented.
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