Algebraic Groups Utrecht 1986 Proceedings of a Symposium in Honour o

From 1-4 April 1986 a Symposium on Algebraic Groups was held at the University of Utrecht, The Netherlands, in celebration of the 350th birthday of the University and the 60th of T.A. Springer. Recognized leaders in the field of algebraic groups and relat

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1271 A. M. Cohen W H. Hesselink W L. J. van der Kallen J. R. Strooker (Eds.)

Algebraic Groups Utrecht 1986 Proceedings of a Symposium in Honour of T. A. Springer

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Editors

Arjeh M. Cohen Stichting Mathematisch Centrum, Centrumfor Wiskundeen Informatica Kruislaan 413,1098 SJ Amsterdam, The Netherlands Wim H. Hesselink Subfaculteit Wiskundeen Informatica, Rijksuniversiteit Groningen Postbus800,9700 AV Groningen, The Netherlands Wilberd L. J. van der Kallen Jan R. Strooker Rijksuniversiteit Utrecht, Mathematisch Instituut Budapestlaan 6, 3508 TA Utrecht, The Netherlands

Mathematics SubjectClassification (1980,revised 1985): 11 FXX, 14LXX, 15A69, 17BXX, 18GXX, 20GXX, 22EXX, 35A27, 43A90, 57T10 ISBN 3-540-18234-9Springer-Verlag Berlin Heidelberg New York ISBN 0-387-18234-9Springer-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 other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.

© Springer-Verlag Berlin Heidelberg 1987 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210

PREFACE A symposium on Algebraic Groups took place at the University of Utrecht from 1 - 4 April, 1986. It: was organized to celebrate two birthdays: the 350th anniversary oftheurtiversity and the 60th birthday of its distinguished member, Professor T.A. Springer. The university celebrated with a series of international scientific symposia and congresses, of which 'Algebraic Groups' was the first one. Our symposium was funded by the 'Stichting 350 jaar Rijksuniversiteit Utrecht', the 'Koninklijke Nederlandse Academie van Wetenschappen', and the Dutch research organisation ZWo. To the first of these bodies and to the convention bureau QLT employed by them, we are also indebted for help with the organization, as we are for secreLarial help to the Mathematics Department of Utrecht University. To honour Professor Springer, we felt it would be appropriate to invite a number of leading experts in the field of algebraic groups to lecture on their current research; in this way a wide spectrum of topics would be covered and the central role of algebraic groups in mathematics emphasized. It is a tribute to the active part which Springer has played in the development of the subject, that all of the speakers have had close scholarly and personal contacts with him at one time or another. Of the fifteen invited speakers thirteen were able to come, while another mathematician graciously accepted to be a last-minute stand-in. Fourteen manuscripts were contributed