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.
