Gauge transformations on locally trivial quantum principal fibre bundles
| dc.creator | Calow, Dirk | |
| dc.creator | Matthes, Rainer | |
| dc.date | 2000-02-27 | |
| dc.date.accessioned | 2026-07-07T04:34:06Z | |
| dc.date.available | 2026-07-07T04:34:06Z | |
| dc.description | If P, B, H are the algebras of the total space, the base space, and the structure group of a locally trivial principal fibre bundle (QPFB), left (right) gauge transformations are defined as automorphisms of the left (right) B-module P which are adapted to the coaction of the Hopf algebra H and to the covering related to the local trivializations. Covariant derivatives on a QPFB are always transformed into covariant derivatives. This is true for connections only for special choices of the differential structure on H and/or if one restricts to algebra automorphisms. There are analogues of the classical formulas relating local connection forms and their gauge transforms. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0002230 | |
| dc.identifier | http://arxiv.org/abs/math/0002230 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58773 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 81R50, 46L87 | |
| dc.title | Gauge transformations on locally trivial quantum principal fibre bundles | |
| dc.type | text |