Complexes and Vanishing of Cohomology for Group Schemes

AbstractCompletely reducible homology complexes were originally introduced in the context of finite groups and used to study the question of vanishing of cohomology. In this paper we study these complexes and the vanishing of cohomology for arbitrary finite-dimensional cocommutative Hopf algebras. Applications are later provided for infinitesimal group schemes of reductive and solvable algebraic groups