Tensor product representations of the quantum double of a compact group

Details Tensor product representations of the quantum double of a compact group Tensor product representations of the quantum double of a compact group

1997-12-17

arxiv.org/abs/q-alg/9712042v3

Commun.Math.Phys. 198 (1998) 157-186

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 27 pages, corrected references, accepted by Comm.Math.Phys

Scientific paper

10.1007/s002200050475

We consider the quantum double D(G) of a compact group G, following an earlier paper. We use the explicit comultiplication on D(G) in order to build tensor products of irreducible *-representations. Then we study their behaviour under the action of the R-matrix, and their decomposition into irreducible *-representations. The example of D(SU(2)) is treated in detail, with explicit formulas for direct integral decomposition (`Clebsch-Gordan series') and Clebsch-Gordan coefficients. We point out possible physical applications.

Affiliated with

Also associated with

No associations

Rating

Tensor product representations of the quantum double of a compact group 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 Tensor product representations of the quantum double of a compact group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tensor product representations of the quantum double of a compact group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-677737