Quantum Groups Proceedings of Workshops held in the Euler Internatio
The theory of Quantum Groups is a rapidly developing area with numerous applications in mathematics and theoretical physics, e.g. in link and knot invariants in topology, q-special functions, conformal field theory, quantum integrable models. The aim of t
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P. P. Kulish (Ed.)
Quantum Groups Proceedings of Workshops held in the Euler International Mathematical Institute, Leningrad, Fa111990
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest
Editor Petr P. Kulish Euler International Mathematical Institute Fontanka 27,191011, St. Petersburg, Russia
Mathematics Subject Classification (1991): 16W30, 17B37, 57M25, 8lR50
ISBN 3-540-55305-3 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-55305-3 Springer-Verlag New York Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1992 Printed in Germany
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FOREWORD This is the first volume of the Proceedings of the Euler International Mathematical Institute in St.Petersburg. SpringerVerlag has kindly agreed to incorporate these Proceedings in the format of the Lecture Notes in Mathematics. Due to a variety of circumstances the first Semester of the Institute, in the fall of 1990, was not fully fledged. Instead of a combined research effort it was organized in the form of short workshops. So this volume contains the results of individual authors, brought to the attention of the participants, rather than the outcome of joint work carried out within the walls of the Institute. This will be changed as soon as the Institute begins to work in full strength. I hope that the results obtained at the Euler Institute will interest the international mathematical community, so that our publications will become an important part of the Lecture Notes in Mathematics. I would like to thank SpringerVerlag for their invaluable help and good will. Director of EIMI
L. Faddeev
PREFACE The Euler International Mathematical Institute in Leningrad was founded with the aim of enhancing contacts of Soviet and foreign mathematicians and to create opportunities for them to meet during two or three month periods to discuss current problems and carry out research within the mathematical topic chosen for this period. The first semester (Fall 1990) was devoted to quantum groups, in view of the growing interest to this subject manifested by mathematicians of various specializations. Organizational questions combined with the desire to bring together as many participants as possible determined the structure of the first semester which was divided into three workshops: 1. Quantum groups,
