A canonical Tannaka duality for finite seimisimple tensor categories

Details A canonical Tannaka duality for finite seimisimple tensor categories A canonical Tannaka duality for finite seimisimple tensor categories

1999-04-15

arxiv.org/abs/math/9904073v2

Mathematics

Quantum Algebra

AMS-LaTeX, 8 pages

Scientific paper

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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