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A canonical Tannaka duality for finite seimisimple tensor categories

Takahiro Hayashi
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Abstract

For each finite semisimple tensor category, we associate a quantum group (face algebra) whose comodule category is equivalent to the original one, in a simple natural manner. To do this, we also give a generalization of the Tannaka-Krein duality, which assigns a face algebra for each tensor category equipped with an embedding into a certain kind of bimodule category.

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Takahiro Hayashi. 1999-04-16. A canonical Tannaka duality for finite seimisimple tensor categories. https://arxiv.org/abs/math/9904073

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