Tannaka-Krein duality for Hopf algebroids

Details Tannaka-Krein duality for Hopf algebroids Tannaka-Krein duality for Hopf algebroids

2002-06-11

arxiv.org/abs/math/0206113v2

Mathematics

Quantum Algebra

25 pages, final version, to appear in Israel Journal of Mathematics

Scientific paper

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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