Quantum categories, star autonomy, and quantum groupoids
| dc.creator | Day, Brian | |
| dc.creator | Street, Ross | |
| dc.date | 2003-01-20 | |
| dc.date | 2003-04-04 | |
| dc.date.accessioned | 2026-07-07T04:54:33Z | |
| dc.date.available | 2026-07-07T04:54:33Z | |
| dc.description | 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". | |
| dc.description | 41 pages, PDF file based on MacWrite document This revised version corrects some duality mistakes in the last three sections | |
| dc.identifier | https://arxiv.org/abs/math/0301209 | |
| dc.identifier | http://arxiv.org/abs/math/0301209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66296 | |
| dc.subject | Category Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantum categories, star autonomy, and quantum groupoids | |
| dc.type | text |