Contemporary Mathematics 2000; 356 pp; softcover Volume: 267 ISBN10: 0821821261 ISBN13: 9780821821268 List Price: US$87 Member Price: US$69.60 Order Code: CONM/267
 This volume presents the proceedings from the Colloquium on Quantum Groups and Hopf Algebras held in Córdoba (Argentina) in 1999. The meeting brought together researchers who discussed recent developments in Hopf algebras, one of the most important being the influence of quantum groups. Articles offer introductory expositions and surveys on topics of current interest that, to date, have not been available in the current literature. Surveys are included on characteristics of Hopf algebras and their generalizations, biFrobenius algebras, braided Hopf algebras, inner actions and Galois theory, face algebras, and infinitesimal Hopf algebras. The following topics are also covered: existence of integrals, classification of semisimple and pointed Hopf algebras, \(*\)Hopf algebras, dendriform algebras, etc. Nonclassical topics are also included, reflecting its applications both inside and outside the theory. Readership Graduate students and research mathematicians interested in Hopf algebras and quantum groups; algebraists; specialists in combinatorics; mathematical physicists. Table of Contents  M. Aguiar  Infinitesimal Hopf algebras
 S. Caenepeel and E. De Groot  Modules over weak entwining structures
 M. Cohen  On generalized characters
 Y. Doi and M. Takeuchi  BiFrobenius algebras
 A. García and R. Trinchero  Integrable models and star structures
 M. Graña  On Nichols algebras of low dimension
 J. A. Guccione and J. J. Guccione  A generalization of crossed products
 T. Hayashi  A brief introduction to face algebras
 L. H. Kauffman and D. E. Radford  On two proofs for the existence and uniqueness of integrals for finitedimensional Hopf algebras
 A. Masuoka  Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension
 A. Milinski and H.J. Schneider  Pointed indecomposable Hopf algebras over Coxeter groups
 D. Nikshych  A duality theorem for quantum groupoids
 M. Ronco  Primitive elements in a free dendriform algebra
 S. Sachse  On operator representations of \(U_q(isl(2,\mathbb{R}))\)
 P. Schauenburg  Duals and doubles of quantum groupoids (\(\times_R\)Hopf algebras)
 M. Takeuchi  Survey of braided Hopf algebras
 S. Westreich  Inner and outer actions of pointed Hopf algebras
 J.H. Lu, M. Yan, and Y. Zhu  Quasitriangular structures on Hopf algebras with positive bases
