Quantum groupoids, modules, and star-autonomy
Ross Street (20/11/02, 27/11/02, 15/01/03)
A useful general concept of bialgebroid seems to be resolving itself in recent publications; we give a treatment in terms of modules and enriched categories. We define the term "quantum category". The definition of antipode for a bialgebroid is less resolved in the literature. Our suggestion is that the kind of dualization occurring in Barr's star-autonomous categories is more suitable than autonomy (= compactness = rigidity). This leads to our definition of quantum groupoid intended as a "Hopf algebra with several objects".The full paper is available as a pdf file.
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Steve Lack Last modified: Mon Jan 20 09:52:00 EST 2003