Cofinite Induction and Artin′s Theorem for Hopf Algebras Original Research Article

Let H be a finite dimensional cocommutative Hopf algebra over a field K of characteristic zero. Then it is possible for H to be simple; that is, H has no proper nontrivial subHopf algebras. In particular, the Hopf algebraic analog of Artin′s theorem for representations of finite groups does not hold.