Calculi, Hodge operators and Laplacians on a quantum Hopf fibration

Details Calculi, Hodge operators and Laplacians on a quantum Hopf fibration Calculi, Hodge operators and Laplacians on a quantum Hopf fibration

2010-09-20

arxiv.org/abs/1009.3738v2

Rev. Math. Phys. 23 (2011) 575-613

Mathematics

Quantum Algebra

v2, minor corrections. 32 pages, to appear on Rev. Math. Phys

Scientific paper

10.1142/S0129055X11004370

We describe Laplacian operators on the quantum group SUq (2) equipped with the four dimensional bicovariant differential calculus of Woronowicz as well as on the quantum homogeneous space S2q with the restricted left covariant three dimensional differential calculus. This is done by giving a family of Hodge dualities on both the exterior algebras of SUq (2) and S2q . We also study gauged Laplacian operators acting on sections of line bundles over the quantum sphere.

Affiliated with

Also associated with

No associations

Rating

Calculi, Hodge operators and Laplacians on a quantum Hopf fibration 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 Calculi, Hodge operators and Laplacians on a quantum Hopf fibration, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Calculi, Hodge operators and Laplacians on a quantum Hopf fibration will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-264016