The Orbit Method in Geometry and Physics In Honor of A.A. Kirillov
The volume is dedicated to AA. Kirillov and emerged from an international con ference which was held in Luminy, Marseille, in December 2000, on the occasion 6 of Alexandre Alexandrovitch's 2 th birthday. The conference was devoted to the orbit method in
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Series Editors Hyman Bass Joseph Oesterle Alan Weinstein
The Orbit Method in Geometry and Physics In Honor of A.A. Kirillov
Christian Du val Laurent Guieu Valentin Ovsienko Editors
Springer Science+Business Media, LLC
Christian Duval Centre de Physique Theorique CNRS Campus de Luminy Marseille Cedex 9, F-13288 France
Valentin Ovsienko Institut Girard Desargues Universite Claude Bemard Lyon 1 Villeurbanne Cedex, F-69622 France
Laurent Guieu Universite Montpellier II Departement des Sciences Mathematiques Montpelier Cedex 5, F-34095 France
Library of Congress Cataloging-in-Publication Data The orbit method in geometry and physics : in honor of A.A. Kirillov I C. Duval, L. Guieu, V. Ovsienko, editors. p. cm. - (Progress in mathematics; v. 213) Includes bibliographical references. ISBN 978-1-4612-6580-1 ISBN 978-1-4612-0029-1 (eBook) DOI 10.1007/978-1-4612-0029-1 1. Orbit method. 1. Kirillov, A.A. (Aleksandr Aleksandrovich), 1936- II. Duval, C. (Christian) III. Guieu, L. (Laurent) IV. Ovsienko, V. (Valentin) V. Progress in Mathematics (Boston, Mass.); v. 213 QA387.072 2003 512'.55-dc21
2003041933
AMS Subject Classifications: 22Exx, 17Bxx, 53D50, 53B25, 53D55, 58H05, 81T30, 22E65 Printed on acid-free paper ©2003 Springer Science+Business Media New York Origina\ly published by Birkhauser Boston in 2003 Softcover reprint of the hardcover 1st edition 2003 AII rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Birkhăuser Boston, elo Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone.
ISBN 978-1-4612-6580-1
SPIN 10832700
Typeset from files by TEXniques, Inc., Cambridge, MA.
987 6 5 4 3 2 1
A.A. Kirillov
Preface The volume is dedicated to AA. Kirillov and emerged from an international conference which was held in Luminy, Marseille, in December 2000, on the occasion of Alexandre Alexandrovitch's 26 th birthday. The conference was devoted to the orbit method in representation theory, an important subject that influenced the development of mathematics in the second half of the XXth century. Among the famous names related to this branch of mathematics, the name of AA Kirillov certainly holds a distinguished place, as the inventor and founder of the orbit method. The research articles in this volume are an outgrowth of the Kirillov Fest and they illustrate the most recent achievements in the orbit method and other areas closely related to the scientific interes
