Quantum principal bundles up to homotopy equivalence

Details Quantum principal bundles up to homotopy equivalence Quantum principal bundles up to homotopy equivalence

2005-07-11

arxiv.org/abs/math/0507221v1

Mathematics

Quantum Algebra

12 pages. This is a corrected version of a paper published in "The Legacy of Niels Henrik Abel", 737-748. O. A. Laudal, R. Pie

Scientific paper

We translate some fundamental properties satisfied by topological principal bundles into the setting of Hopf-Galois extensions. The properties are: functoriality, homotopy, and triviality. The main new concept of the paper is the homotopy equivalence of Hopf-Galois extensions. We work in the particular case where the subalgebra of coinvariants is central but without any restriction on the Hopf algebras coacting on the quantum principal bundle. We examine in detail the case when the Hopf algebra is one of Sweedler or Taft's finite-dimensional Hopf algebras.

Affiliated with

Also associated with

No associations

Rating

Quantum principal bundles up to homotopy equivalence 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 Quantum principal bundles up to homotopy equivalence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum principal bundles up to homotopy equivalence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-404718