Lie Group Representations II Proceedings of the Special Year held at
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1041 Lie Group Representations II Proceedings of the Special Year held at the University of Maryland, College Park 1982-1983
Edited by R. Herb, S. Kudla, R. Lipsman and J. Rosenberg
Springer-Verlag Berlin Heidelberg New York Tokyo 1984
Editors
Rebecca Herb Stephen Kudla Ronald Lipsman Jonathan Rosenberg Department of Mathematics, University of Maryland College Park, Maryland 20742, USA
AMS Subject Classifications (1980): 22E55, 22E35, 10040,10030 ISBN 3-540-12715-1 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12715-1 Springer-Verlag New York Heidelberg Berlin Tokyo Library of Congress Cataloging in Publication Data. (Revised for vol. 2) Main entry under title: Lie group representations. (Lecture notes in mathematics; 1024, 1041) Vol. 2 edited by R. Herb et al. Sponsored by the Dept. of Mathematics, University of Maryland, College Park. 1. Lie groups-Congresses. 2. Representations of groups-Congresses. I. Herb, R. (Rebecca), 1948-. II. University of Maryland, College Park. Dept. of Mathematics. III. Series: Lecture notes in mathematics (Springer-Verlag); 1024, etc. QA3.L28 no. 1024 [QA387] 51Os [512'.551 83-16871 ISBN 0-387-12725-9 (U.S.: v.l) This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to 'Verwertungsgesellschaft Wort", Munich.
© by Springer-Verlag Berlin Heidelberg 1983 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
PREFACE
The Department of Mathematics of the university of tlaryland conducted a special Year in Lie Group Representations during the academic year 19821983.
This volume is the second (of three) containing
articles submitted by the main speakers during the Special Year.
Most
of the invited speakers submitted articles, and virtually all of those appearing here deal with the subject matter on which the authors lectured during their visits to Maryland. The Special Year program at Maryland represents a thriving departmental traditionthis being the fourteenth consecutive year in which such an event has taken place.
As usual, the subject matter was chosen
on the basis of active current research and the interests of departmental members. vast subject.
The modern theory of Lie Group Representations is a In order to keep the program within bounds, the Special
Year was planned around five distinct intensive periods of activityeach one (of three weeks duration) devoted to one of the main branches of current research in the subject.
During those periods (approximately)
eight distinguished researchers were invited to present lecture series on areas of current interest.
Each visitor spent 13 weeks in the
department and gave 25 lectures.
In addition, during each period
approximately 810
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