Representation Theory I Proceedings of the Workshop on the Present T
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831 Representation Theory I Proceedings of the Workshop on the Present Trends in Representation Theory, Ottawa, Carleton University, August 13 - 18, 1979
Edited by V. Dlab and P. Gabriel
Springer-Verlag Berlin Heidelberg New York 1980
Editors Vlastimil Dlab Department of Mathematics Carleton University Ottawa K15 5B6 Canada Peter Gabriel Mathematisches Institut Universit~t ZLirich Freiestrasse 36 8032 ZQrich Switzerland
AMS Subject Classifications (1980): 16A64, 17 B 10
ISBN 3-540-10263-9 Springer-Verlag Berlin Heidelberg NewYork ISBN 0-38?-10263-9 Springer-Verlag New York Heidelberg Berlin 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 the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin Heidelberg 1980 Printed in Germany Printing and binding: Bettz Offsetdruck, Hemsbach/Bergstr. 214t/3140-543210
PREFACE
The First International Conference on Representations of Algebras was held at Carleton University, Ottawa, on September 3-7, 1974; the Proceedings of the Conference appeared as Springer Lecture Notes ##488 the following year. Since then, the interest in the representation theory grew rapidly, and significant advances and contributions to the theory continued to take place. These were to be reflected in the meeting organized at Carleton University on August 13-25, 1979. The Organizing Ccmmittee consisted of Professors
J. Alperin, M. Auslander, V. Dlab, P. Gabriel, I. Reiner,
C.M. Ringel, A.V. Rojter and H. Tachikawa. The developments of the five-year period preceding the meeting were the subject of five series of lectures in the ~DRKSHOP ON THE PRESENT ~ S IN REPRESI~TATION THEORY (August 13-18, 1979) given by
J. Alperin (Block
theory), P. Gabriel (Trends in representation theory), J.E. Humphreys (Highest weight modules for semi simple Lie algebras), C.M. Ringel (Algorithms for solving vector space problems) and V.A. Rojter (Differential graded categories). The first volume of these Proceedings contains reports from the WORKSHOP. Recent advances in the representation theory were reported in 42 lectures during the second part of the meeting: THE SECOND INT~m~iATIONAL CONFERENCE ON REPRESENTATIONS OF ALGEBRAS; the lectures are listed on page VIII. Not all contributions to the CONFERENCE appear in these Proceedings; on the other hand, some papers which were not reported, are included. All
IV published papers appear in the form suhntitted by the author; only very few technical alterations have been made. It should be pointed out that scme of the contributions to these Proceedings have resulted out of discussions and conversations during the meeting. We should like to thank all referees for their assistan
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