Collection(s) : Cours spécialisés
Paru le 30/04/2014 | Relié 169 pages
Doctorat
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 around the Drinfeld-Kohno theorem, presented from the operator algebraic point of view. The book should be accessible to students with a basic knowledge of operator algebras and semisimple Lie groups.
Sergey Neshveyev completed his Ph.D. at the Institute for Low Temperature Physics and Engineering, Ukraine, in 1999. He works at the Mathematics Institute of the University of Oslo, Norway, where he became Professor of Mathematics in 2008. In the same year he received The Foundation's Prize from Fondation Sciences Mathématiques de Paris. His research interests include dynamical systems, noncommutative geometry and quantum groups.
Lars Tuset completed his Ph.D. at the Norwegian University of Technology in Trondheim in 1995. He works at the Department of Computer Science of Oslo and Akershus University College of Applied Sciences, Norway, where he became Professor of Mathematics in 2005. He has extensively published in the fields of noncommutative geometry, quantum groups and tensor categories.