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Deformations of compact quantum groups via Rieffel's quantization

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Abstract

It is shown that compact quantum groups containing torus subgroups can be deformed into new compact quantum groups under Rieffel's quantization. This is applied to showing that the two classes of compact quantum groupsK u q andK q studied by Levendorkii and Soibelman are strict deformation quantization of each other, and that the quantum groupsA u (m) have many deformations.

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  1. Institut des Hautes Etudes Scientifiques, 35 route de Chartres, F-91440, Bures-sur-Yvette, France

    Shuzhou Wang

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  1. Shuzhou Wang
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Communicated by A. Jaffe

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Wang, S. Deformations of compact quantum groups via Rieffel's quantization. Commun.Math. Phys. 178, 747–764 (1996). https://doi.org/10.1007/BF02108823

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  • DOI: https://doi.org/10.1007/BF02108823

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