Tannaka-Krein duality for Hopf algebroids
arXiv:math/0206113 · doi:10.1007/s11856-008-1047-5
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.
25 pages, final version, to appear in Israel Journal of Mathematics
References in corpus (3)
Cited by in corpus (19)
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