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Gauge transformations on locally trivial quantum principal fibre bundles | Dirk Calow
; Rainer Matthes
; | Date: |
27 Feb 2000 | Subject: | Quantum Algebra MSC-class: 81R50, 46L87 | math.QA | Abstract: | 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. | Source: | arXiv, math.QA/0002230 | Services: | Forum | Review | PDF | Favorites |
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