Finite dimensional quantum group covariant differential calculus on a complex matrix algebra

Details Finite dimensional quantum group covariant differential calculus on a complex matrix algebra Finite dimensional quantum group covariant differential calculus on a complex matrix algebra

1998-04-03

arxiv.org/abs/math/9804021v1

Phys.Lett. B443 (1998) 221-232

Mathematics

Quantum Algebra

11 pages, LaTeX, uses diagrams.sty

Scientific paper

10.1016/S0370-2693(98)01303-3

Using the fact that the algebra M(3,C) of 3 x 3 complex matrices can be taken as a reduced quantum plane, we build a differential calculus Omega(S) on the quantum space S defined by the algebra C^\infty(M) \otimes M(3,C), where M is a space-time manifold. This calculus is covariant under the action and coaction of finite dimensional dual quantum groups. We study the star structures on these quantum groups and the compatible one in M(3,C). This leads to an invariant scalar product on the later space. We analyse the differential algebra Omega(M(3,C)) in terms of quantum group representations, and consider in particular the space of one-forms on S since its elements can be considered as generalized gauge fields.

Affiliated with

Also associated with

No associations

Rating

Finite dimensional quantum group covariant differential calculus on a complex matrix algebra 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 Finite dimensional quantum group covariant differential calculus on a complex matrix algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite dimensional quantum group covariant differential calculus on a complex matrix algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-348456