Induction functors and stable Clifford theory for Hopf modules (Q1919570)

Let \(H\) be a Hopf algebra with bijective antipode, \(A\) a right \(H\)-comodule algebra, and \(B\) the subalgebra of coinvariants. A revised induction functor is introduced in order to study the relation between the category of \(B\)-modules and the category of \((H,A)\)-Hopf modules. The relation between simple \(B\)-modules and simple Hopf modules is discussed and a version of Dade's stable Clifford theory is given.