| Authors |
|
| Publication date |
1998
|
| Journal |
Communications in Mathematical Physics
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| Volume | Issue number |
198
|
| Pages (from-to) |
157-186
|
| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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Faculty of Science (FNWI) - Institute of Physics (IoP) - Institute for Theoretical Physics Amsterdam (ITFA)
|
| 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
|
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