Abstract:
We consider the quantum double of a compact group G, following an earlier paper. We use the explicit comultiplication on 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 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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Received: 21 January 1998 / Accepted: 31 March 1998
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Koornwinder, T., Bais, F. & Muller, N. Tensor Product Representations of the Quantum Double of a Compact Group. Comm Math Phys 198, 157–186 (1998). https://doi.org/10.1007/s002200050475
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DOI: https://doi.org/10.1007/s002200050475