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Frobenius induction for algebras

2016/10/01 by Coconet, Tiberiu, Marcus, Andrei, Todea, Constantin-Cosmin
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1610.00093

Abstract

Let B→ A be a homomorphism of Hopf algebras and let C be an algebra. We consider the induction from B to A of C in two cases: when C is a B-interior algebra and when C is a B-module algebra. Our main results establish the connection between the two inductions. The inspiration comes from finite group representation theory, and some constructions work in even more general contexts.

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