A canonical Tannaka duality for finite seimisimple tensor categories
Abstract
Description
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.
AMS-LaTeX, 8 pages
AMS-LaTeX, 8 pages