Contemporary Mathematics 2007; 174 pp; softcover Volume: 441 ISBN10: 0821838202 ISBN13: 9780821838204 List Price: US$65 Member Price: US$52 Order Code: CONM/441
 Hopf algebras have proved to be very interesting structures with deep connections to various areas of mathematics, particularly through quantum groups. Indeed, the study of Hopf algebras, their representations, their generalizations, and the categories related to all these objects has an interdisciplinary nature. It finds methods, relationships, motivations and applications throughout algebra, category theory, topology, geometry, quantum field theory, quantum gravity, and also combinatorics, logic, and theoretical computer science. This volume portrays the vitality of contemporary research in Hopf algebras. Altogether, the articles in the volume explore essential aspects of Hopf algebras and some of their bestknown generalizations by means of a variety of approaches and perspectives. They make use of quite different techniques that are already consolidated in the area of quantum algebra. This volume demonstrates the diversity and richness of its subject. Most of its papers introduce the reader to their respective contexts and structures through very expository preliminary sections. Readership Graduate students and research mathematicians interested in Hopf algebras, their applications and generalizations. Table of Contents  B. Day, E. Panchadcharam, and R. Street  Lax braidings and the Lax centre
 G. Karaali  Dynamical quantum groupsThe super story
 Y. Kashina  Groups of grouplike elements of a semisimple Hopf algebra and its dual
 S.H. Ng and P. Schauenburg  Higher FrobeniusSchur indicators for pivotal categories
 F. Panaite  Doubles of (quasi) Hopf algebras and some examples of quantum groupoids and vertex groups related to them
 P. Schauenburg  Central braided Hopf algebras
 M. D. Staic  A note on antiYetterDrinfeld modules
 M. Takeuchi  Representations of the Hopf algebra \(U(n)\)
