Comptact Quantum Groups and their Representation Categories
Sergey Neshveyev (Foundation’s Prize 2008) and Lars Tuset wrote "Compact Quantum Groups and Their Representation Categories", a book of lecture notes published by the SMF. If you are interested and want to read this book please click here.
These lecture notes are from the course he gave in 2009. It was about the operator algebraic approach to quantum groups, emphasizing the role of categories in the study of group actions, potential theory and differential geometry.
The paper version in hard edition (co-edition Société Mathématique de France & Fondation Sciences Mathématiques de Paris) is available for sale on the SMF web site: list price 50 euros ($75), SMF Member price 35 euros ($53) (excluding Shipping cost). http://smf4.emath.fr/CatalogueCommandes/CommandeEnLigne/?action=selection&listefascicule=10843&10843=1