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Introduction to compact and discrete quantum groups

Volume 111 / 2017

Uwe Franz, Adam Skalski, Piotr M. Sołtan Banach Center Publications 111 (2017), 9-31 MSC: Primary 46L89; Secondary 16W30, 81R50. DOI: 10.4064/bc111-0-1


These are notes from introductory lectures at the graduate school Topological Quantum Groups in Będlewo (June 28–July 11, 2015). The notes present the passage from Hopf algebras to compact quantum groups and sketch the notion of discrete quantum groups viewed as duals of compact quantum groups.


  • Uwe FranzLaboratoire de Mathématiques de Besançon
    Université de Franche-Comté
    16, route de Gray
    25030 Besançon cedex, France
  • Adam SkalskiInstitute of Mathematics of the Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warsaw, Poland
  • Piotr M. SołtanDepartment of Mathematical Methods in Physics
    Faculty of Physics
    University of Warsaw
    Pasteura 5
    02-093 Warsaw, Poland

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