Geodesic
Modular Properties of Matrix Coefficients of Corepresentations of a Locally Compact Quantum Group
Martijn Caspers1 ; Erik Koelink1
1Radboud Universiteit, IMAPP, Heyendaalseweg 135, Nijmegen, 6525 AJ, The Netherlands
Journal of Lie Theory, Tome 21 (2011) no. 4, pp. 905-928

Voir la notice de l'article provenant de la source Heldermann Verlag

We give a formula for the modular operator and modular conjugation in terms of matrix coefficients of corepresentations of a quantum group in the sense of Kustermans and Vaes. As a consequence, the modular autmorphism group of a unimodular quantum group can be expressed in terms of matrix coefficients. As an application, we determine the Duflo-Moore operators for the quantum group analogue of the normaliser of SU(1,1) in SL(2,C).
Classification : 20G42, 47D03, 47A67
Mots-clés : Locally compact quantum groups, Orthogonality relations, Duflo-Moore operators, Modular automorphism group, Plancherel measure

Martijn Caspers  1   ; Erik Koelink  1

1 Radboud Universiteit, IMAPP, Heyendaalseweg 135, Nijmegen, 6525 AJ, The Netherlands 
Martijn Caspers; Erik Koelink. Modular Properties of Matrix Coefficients of Corepresentations of a Locally Compact Quantum Group. Journal of Lie Theory, Tome 21 (2011) no. 4, pp. 905-928. http://geodesic.mathdoc.fr/item/JOLT_2011_21_4_a8/
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     author = {Martijn Caspers and Erik Koelink},
     title = {Modular {Properties} of {Matrix} {Coefficients} of {Corepresentations} of a {Locally} {Compact} {Quantum} {Group}},
     journal = {Journal of Lie Theory},
     pages = {905--928},
     year = {2011},
     volume = {21},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2011_21_4_a8/}
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