| Authors |
|
| Publication date |
1999
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| Journal |
Journal of Physics. A, Mathematical and General
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| Volume | Issue number |
32 | 48
|
| Pages (from-to) |
8539-8549
|
| 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 define a Fourier transform S for the quantum double D(G) of a finite group G. Acting on characters of D(G), S and the central ribbon element of D(G) generate a unitary matrix representation of the group SL(2,). The characters form a ring over the integers under both the algebra multiplication and its dual, with the latter encoding the fusion rules of D(G). The Fourier transform relates the two ring structures. We use this to give a particularly short proof of the Verlinde formula for the fusion coefficients.
|
| Document type |
Article
|
| Language |
English
|
| Published at |
https://doi.org/10.1088/0305-4470/32/48/313
|
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