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## Banach Center Publications

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## Locally compact quantum groups

### Volume 111 / 2017

Banach Center Publications 111 (2017), 153-184 MSC: 20G42, 33D99, 47C15. DOI: 10.4064/bc111-0-5

#### Abstract

Quantum groups can be viewed as deformations/liberations of classical locally compact groups. Around the year 2000 a thorough definition of a locally compact quantum group was given by Kustermans and Vaes. In these lecture notes (which were used at the Będlewo summer school in 2015) we give an introduction to this Kustermans–Vaes definition and we discuss the example of $SU_q(1,1)$ established by Koelink and Kustermans.

#### Authors

• Martijn CaspersFachbereich für Mathematik und Informatik
Westfälische Wilhelms-Universität Münster
Einsteinstrasse 62
D-48149 Münster, Germany
e-mail

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