Tensor product representations of the quantum double of a compact group
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| Publication date | 1998 |
| Journal | Communications in Mathematical Physics |
| Volume | Issue number | 198 |
| Pages (from-to) | 157-186 |
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| 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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1007/s002200050475
(Final published version)
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