Geodesic
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.

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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 
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     title = {Modular {Properties} of {Matrix} {Coefficients} of {Corepresentations} of a {Locally} {Compact} {Quantum} {Group}},
     journal = {Journal of Lie theory},
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     year = {2011},
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M. Caspers; E. 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/JLT_2011_21_4_JLT_2011_21_4_a8/