Fourier transform and the Verlinde formula for the quantum double of a finite group

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dc.creatorKoornwinder, T. H.
dc.creatorSchroers, B. J.
dc.creatorSlingerland, J. K.
dc.creatorBais, F. A.
dc.date1999-04-07
dc.date1999-11-10
dc.date.accessioned2026-07-07T10:54:18Z
dc.date.available2026-07-07T10:54:18Z
dc.descriptionA Fourier transform S is defined 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,Z). 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.
dc.description15 pages, small errors corrected and references added, version to appear in Journal of Physics A
dc.identifierhttps://arxiv.org/abs/math/9904029
dc.identifierhttp://arxiv.org/abs/math/9904029
dc.identifierJ.Phys.A32:8539-8549,1999
dc.identifierdoi:10.1088/0305-4470/32/48/313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185760
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject16W30; 20Cxx; 81R50
dc.titleFourier transform and the Verlinde formula for the quantum double of a finite group
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