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

Journal of Physics A: Mathematical and General

Volumn 32, Issue 48, 1999, Pages 8539-8549

  Koornwinder, T H ^a   Schroers, B J ^b   Slingerland, J K ^c   Bais, F A ^c  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

^c UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038931343     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/48/313     Document Type: Article

References (24)

1. Chari V and Pressley A 1994 Quantum Groups (Cambridge: Cambridge University Press)
2. Drinfel'd V G 1986 Quantum groups Proc. Int. Congress Mathematicians (Berkeley, 1986) (Providence, RI: American Mathematical Society) pp 798-820
3. Dijkgraaf R, Vafa C, Verlinde E and Verlinde H 1989 The operator algebra of orbifold models Commun. Math. Phys. 123 485-526
4. Bais F A, van Driel P and de Wild Propitius M 1992 Quantum symmetries in discrete gauge theories Phys. Lett. B 63 63
5. de Wild Propitius M and Bais F A 1999 Discrete gauge theories Particles and Fields ed G Semenoff and L Vinet (Berlin: Springer) pp 353-431
6. Dijkgraaf R, Pasquier V and Roche P 1990 Quasi Hopf algebras, group cohomology and orbifold models Nucl. Phys. B (Proc. Suppl.) 18 60-72
7. Fuchs J 1994 Fusion rules in conformal field theory Fortsch. Phys. 42 1-48
8. Verlinde E 1988 Fusion rules and modular transformations in 2D conformal field theory Nucl. Phys. B 300 360-76
9. Koornwinder T H and Muller N M 1997 The quantum double of a (locally) compact group J. Lie Theory 7 33-52 Koornwinder T H and Muller N M 1998 J. Lie Theory 8 187 (erratum)
10. Koornwinder T H and Muller N M 1997 The quantum double of a (locally) compact group J. Lie Theory 7 33-52 Koornwinder T H and Muller N M 1998 J. Lie Theory 8 187 (erratum)
11. 8 Q. J. Math. Oxford 30 315-38
12. Lusztig G 1984 Characters of Reductive Groups over a Finite Field (Princeton, NJ: Princeton University Press)
13. Lyubashenko V 1995 Modular transformations and tensor categories J. Pure Appl. Algebra 98 279-327
14. Lyubashenko V and Majid S 1994 Braided groups and quantum Fourier transform J. Algebra 166 506-28
15. Lyubashenko V and Majid S 1992 Fourier transform identities in quantum mechanics and the quantum line Phys. Lett. B 284 66-70
16. Kempf A and Majid S 1994 Algebraic q-integration and Fourier theory on quantum braided spaces J. Math. Phys. 35 6802-37
17. Bespalov Y, Kerler T, Lyubashenko V and Turaev V 1997 Integrals for braided Hopf algebras Preprint q-alg/9709020 or math.QA/9709160
18. Chryssomalakos C 1997 Remarks on quantum integration Commun. Math. Phys. 184 1-25
19. Woronowicz S L 1937 Compact matrix pseudogroups Commun. Math. Phys. 111 613-65
20. van Daele A 1997 The Haar measure on finite quantum groups Proc. Am. Math. Soc. 125 3489-500
21. Koornwinder T H, Bais F A and Muller N M 1998 Tensor product representations of the quantum double of a compact group Commun. Math. Phys. 198 157-86
22. Serre J P 1967 Représentations Linéaires des Groupes Finis (Paris: Hermann)
23. James G and Liebeck M 1993 Representations and Characters of Groups (Cambridge: Cambridge University Press)
24. Fuchs J, Ganchev A and Vecsernyes P 1995 Rational Hopf algebras: polynomial equations, gauge fixing, and low dimensional examples Int. J. Mod. Phys. A 10 3431-76