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Frobenius monoidal functors induced by Frobenius extensions of Hopf algebras

Frobenius monoidal functors induced by Frobenius extensions of Hopf algebras

We show that induction along a Frobenius extension of Hopf algebras is a Frobenius monoidal functor in great generality, in particular, for all finite-dimensional and all pointed Hopf algebras. As an application, we show that induction functors from unimodular Hopf subalgebras to small quantum groups at roots of unity are …