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Compact Quantum Groups and Their Representation Categories
Sergey Neshveyev, University of Oslo, Norway, and Lars Tuset, Department of Computer Science of Oslo, Norway, and Askershus University College of Applied Sciences, Norway
A co-publication of Société Mathématique de France and Fondation Sciences Mathématiques de Paris.
Cours Spécialisés--Collection SMF
2014; 168 pp; softcover
Number: 20
ISBN-10: 2-85629-777-3
ISBN-13: 978-2-85629-777-3
List Price: US$75
Member Price: US$60
Order Code: COSP/20
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The book provides an introduction to the theory of compact quantum groups, emphasizing the role of the categorical point of view in constructing and analyzing concrete examples. The general theory is developed in the first two chapters and is illustrated with a detailed analysis of free orthogonal quantum groups and the Drinfeld-Jimbo \(q\)-deformations of compact semisimple Lie groups. The next two chapters are more specialized and concentrate on the Drinfeld-Kohno theorem, presented from the operator algebraic point of view. This book should be accessible to students with a basic knowledge of operator algebras and semisimple Lie groups.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

This book is co-published with Fondation Sciences Mathématiques de Paris.


Postgraduate students and research mathematicians interested in quantum groups.

Table of Contents

  • Compact quantum groups
  • \(C{^*}\)-tensor categories
  • Cohomology of quantum groups
  • Drinfeld twists
  • Bibliography
  • List of symbols
  • Index
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