Tensor product representations of the quantum double of a compact group

T. H. Koornwinder; F. A. Bais; N. M. Muller

doi:10.1007/s002200050475

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arXiv · q-alg/9712042

Tensor product representations of the quantum double of a compact group

T. H. Koornwinder·F. A. Bais·N. M. Muller

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Abstract

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.

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BibTeX RIS

T. H. Koornwinder, F. A. Bais, N. M. Muller. 1998-04-20. Tensor product representations of the quantum double of a compact group. https://doi.org/10.1007/s002200050475

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