Séminaires et Congrès 1997; 294 pp; softcover Number: 2 ISBN10: 2856290523 ISBN13: 9782856290521 List Price: US$66 Member Price: US$52.80 Order Code: SECO/2
 The seventh meeting of the Contact FrancoBelge was held in Reims in June 1995. The goal of the meeting was the presentation of recent advances in several related areas where a noncommutative algebraic approach is necessary. The first part of the book contains five articles on new progress in classical problems; the second part, five papers on Hopf algebras, quantum groups and their representations; and the third part, six papers on invariant theory and representation theory. Two chapters are in French, remaining chapters are in English. 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. Readership Graduate students and research mathematicians. Table of Contents  S. S. Abhyankar  Hilbert's Thirteenth Problem
 B. Keller  Basculement et homologie cyclique
 A. A. Kirillov and A. Melnikov  On a remarkable sequence of polynomials
 M. Van den Bergh  Division algebras on \(\mathbb P^2\) of odd index, ramified along a smooth elliptic curve are cyclic
 A. van den Essen  Polynomial automorphisms and the Jacobian conjecture
 S. Caenepeel  Harrison cocycles and the group of Galois coobjects
 J. Donin, D. Gurevich, and V. Rubtsov  Quantum hyberboloid and braided modules
 S. M. Khoroshkin  Central extension of the Yangian double
 C. M. Ringel  Quantum Serre relations
 L. Willaert  Schematic algebras and the AuslanderGorenstein property
 M. Brion  Sur certains modules gradués associés aux produits symétriques
 A. Joseph  Coxeter structure and finite group action
 H. Derksen and H. Kraft  Constructive invariant theory
 L. Le Bruyn  Orbits of matrix tuples
 O. Mathieu  Some conjectures about invariant theory and their applications
 A. Melnikov  Dense orbits in orbital varieties in \(\mathfrak s\mathfrak l_{n}\)
