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Tannaka-Krein duality for Hopf algebroids

Phung Ho Hai
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Abstract

We develop the Tannaka-Krein duality for monoidal functors with target in the categories of bimodules over a ring. The $\coend$ of such a functor turns out to be a Hopf algebroid over this ring. Using the result of a previous paper we characterize a small abelian, locally finite rigid monoidal category as the category of rigid comodules over a transitive Hopf algebroid.

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BibTeXRIS

Phung Ho Hai. 2007-04-12. Tannaka-Krein duality for Hopf algebroids. https://doi.org/10.1007/s11856-008-1047-5

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