2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78360For 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 pagesQuantum AlgebraCategory Theory16W30; 18D10text