Affine Structures on Quantum Principal Bundles

Details Affine Structures on Quantum Principal Bundles Affine Structures on Quantum Principal Bundles

1999-08-10

arxiv.org/abs/math/9908038v1

Mathematics

Quantum Algebra

22 pages, AMSLaTeX

Scientific paper

10.1016/S0034-4877(99)80145-1

Quantum affine bundles are quantum principal bundles with affine quantum structure groups. A general theory of quantum affine bundles is presented. In particular, a detailed analysis of differential calculi over these bundles is performed, including the description of a natural differential calculus over the structure affine quantum group. A particular attention is given to the study of the specific properties of quantum affine connections and several purely quantum phenomena appearing in the context of quantum affine bundles. Various interesting constructions are presented. In particular, the main ideas are illustrated within the example of the quantum Hopf fibration.

Affiliated with

Also associated with

No associations

Rating

Affine Structures on Quantum Principal Bundles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Affine Structures on Quantum Principal Bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Affine Structures on Quantum Principal Bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-201770