Infinite Dimensional Algebras and Quantum Integrable Systems
This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems'' held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV. International Congress on Mathema
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Progress in Mathematics
Infinite Dimensional Algebras and Quantum Integrable Systems
Petr P. Kulish Nenad Manojlovic Henning Samtleben Editors
Infinite Dimensional Algebras and Quantum Integrable Systems
Birkhäuser
Progress in Mathematics Volume 237
Series Editors H. Bass X Oesterle A. Weinstein
Petr P. Kulish Nenad Manojlovic Henning Samtleben Editors
Infinite Dimensional Algebras and Quantum Integrable Systems
Birkhauser Verlag Basel • Boston • Berlin
Authors'. Petr P. Kulish St. Petersburg Department of Steklov Mathematical Institute Rassian Academy of Sciences Fontaka27 191011 St. Petersburg Russia e-mail: [email protected]
Nenad Manojlovich Departamcnto de Matematica Faculdade Ue Cicncias e Tecnologia Universidade do Algarve Campus de Gambelas 8005-139 Faro Portugal e-mail: [email protected]
Henning Sanitleben Ilnd Institute for Theoretical Physics University of Hamburg Lumper Chaussee 149 22761 Hamburg Germany e-mail: henning s;imUeben(«)desy.de
2000 Mathematics Subject Classification 14H15, I4H70, 17B37, 17B55, 17B67, 17B68, 17B69, 17B80, 17B81, 20GI0, 32V60, 32G15, 32G34, 33C70, 33C80, 35Q58, 37J35, 37K10, 46E20, 58B20, 5RFO7, 81R10, 81R50, 81U15, 8IU20, 81T10, 81T40, 82B20, 82B23
A CIP catalogue record for this book is available from the Library of Congress, Washington D.C., USA Bibliographic information published b; Hie Deutsche Ribliothck Die Deutsche Bihliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at .
ISBN 3-7643-7215-X Birkhauser Verlag, Basel - Boston - Berlin 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, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use whatsoever, permission from the copyright owner must be obtained. © 2005 Birkhauscr Verlag, P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science (-Business Media Printed on acid-free paper produced of chlorine-free pulp, TCF « Printed in Germany ISBN-10:3-7643-7215-X ISBN-13:978-3-7643-7215-fi 987654321
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Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
vii
E. Frenkel Gaudin Model and Opers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
O.A. Castro-Alvaredo and A. Fring Integrable Models with Unstable Particles . . . . . . . . . . . . . . . . . . . . . . . . . . .
59
V.G. Kac and M. Wakimoto Quantum Reduction in the Twisted Case . . . . . . . . . . . . . . . . . . . . . . . . . . . .
89
A. Gerasimov, S. Kharchev and D. Lebedev Representation Theory and Quantum Integrability . . . . . . . . . . . . . . . . . . . 133 H.E. Boos, V.E. Korepin and F.A. Smirnov Connecting Lattice and Relativistic Models via Conformal Field Theory . . . . . . . . . . . . . . . . . . . . . . . . . .
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