Lie Group Representations III Proceedings of the Special Year held a
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Lie Group Representations III Proceedings of the Special Year held at the University of Maryland, College Park 1982-1983
Edited by R. Herb, R. Johnson, R. Lipsman and J. Rosenberg
Springer-Verlag Berlin Heidelberg New York Tokyo 1984
Editors
Rebecca Herb Raymond Johnson Ronald Lipsman Jonathan Rosenberg Department of Mathematics, University of Maryland College Park, Maryland 20742, USA
AMS Subject Classification (1980): 22E25, 22E45, 22E70, 35H05, 58G35 ISBN 3-540-13385-2 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-13385-2 Springer-Verlag New York Heidelberg Berlin Tokyo 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 storaqe 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 1984 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
Dedicated to the Memory of Barish-Chandra 1923-1983
PREFACE The Department of Mathematics of the University of Maryland conducted a Special Year in Lie Group Represenations during the academic year 19821983.
This volume is the last (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.
The modern theory of Lie Group Representa-
tions is a vast subject.
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 distinquished researchers were invited to present lecture series on areas of current interest. spent 13 weeks in the department and gave 25 lectures.
Each visitor In addition,
during each period approximately 810 other visitors received financial support in order to attend and participate in the Special Year activities.
Thus each period had to some extent the flavor of a mini-
conference; but the length of the periods, the fact that visitors were provided with office space and the (relatively) low number of lectures per day also left ample time for private discussion and created the atmosphere of "departmental visitor" rather than "conference participant."
Furthermore, as part of the Special Year the department was
fort
