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arXiv · 1610.00093

Frobenius induction for algebras

Tiberiu Coconet·Andrei Marcus·Constantin-Cosmin Todea
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Abstract

Let $B\rightarrow A$ 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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Tiberiu Coconet, Andrei Marcus, Constantin-Cosmin Todea. 2016-10-01. Frobenius induction for algebras. https://arxiv.org/abs/1610.00093

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