Cours SpécialisésCollection SMF 2014; 168 pp; softcover Number: 20 ISBN10: 2856297773 ISBN13: 9782856297773 List Price: US$75 Member Price: US$60 Order Code: COSP/20
 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 DrinfeldJimbo \(q\)deformations of compact semisimple Lie groups. The next two chapters are more specialized and concentrate on the DrinfeldKohno 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 copublished with Fondation Sciences Mathématiques de Paris. Readership 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
