Modular Properties of Matrix Coefficients of Corepresentations of a Locally Compact Quantum group

作者：Caspers Martijn^*; Koelink Erik

来源：Journal of Lie Theory, 2011, 21(4): 905-928.

• Locally compact quantum groups
• Orthogonality relations
• Duflo-Moore operators
• Modular automorphism group
• Plancherel measure

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).

• 出版日期2011