Representation Theory I Finite Dimensional Algebras Proceedings of t

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1177 Representation Theory I Finite Dimensional Algebras Proceedings of the Fourth International Conference on Representations of Algebras held in Ottawa, Canada, August 16-25, 1984

Edited by V. Dlab, P. Gabriel and G. Michler

Springer-Verlag Berlin Heidelberg New York Tokyo

Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann

1177 Representation Theory I Finite Dimensional Algebras Proceedings of the Fourth International Conference on Representations of Algebras held in Ottawa, Canada, August 16-25, 1984

Edited by V. Dlab, P. Gabriel and G. Michler

Springer-Verlag Berlin Heidelberg New York Tokyo

Editors

Vlastimil Dlab Department of Mathematics, Carleton University Ottawa, Ontario, Canada K 1S 5B6 Peter Gabriel Mathematisches lnstitut, Universitat Zurich Ramistrasse 74, 8001 ZUrich, Switzerland Gerhard Michler Fachbereich Mathematik, Gesamthochschule Essen Universitatsstr. 3, 4300 Essen, Federal Republic of Germany

Mathematics Subject Classification (1980): 16A35, 16A36, 16A46, 16A55, 16A58,16A64 ISBN 3-540-16432-4 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-16432-4 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 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 1986 Printed in Germany Printing and binding: Beltz Olfsetdruck, Hemsbach/Bergstr. 2146/3140-543210

PREFACE The took

place

II a

a

The

1984;

Proceedings

488

, 831

WORKSHOP One

attempt

to

M.C.R. L.A.

J.

Butler,

Roggenkamp

the

Proceedings Mathematical financial

important

Carleton

Alperin,

Reiner,

H.

of

W.

and

P.

Lecture

in

Not.e s

assistance

and

the

meeting

R.

was

theory

Bautista, E.L.

Ringel,

volumes We

of

A.V.

and

an the

Brenner,

G.

Michler,

Ro j t e r ,

K.W.

of

the

version

the

should

S.

Green,

preliminary

from the Natural

Research Council of Canada

of

20-25,

(August

The Organizing Committee

C.M.

A

Series.

format

Springer Lecture Notes

Gabriel,

two

in

Ottawa,

established

representation

Reiten,

Tachikawa.

developments

CONFERENCE

Auslander,

1.

appeared

a

groups.

Feit,

algebras

the meeting cons isted of

general

M.

of

University,

previously

objectives

finite

1.

has

1984)

area

Dlab,

and

at a

representations

of

944),

particular

V.

Nazarova,

held

and

16-18,

the

bridge

of

number

following

representation theory of consisted

was

, 832, 903

of

a

on

of the previous meetings,

(August

1984).

meeting

period of

meeting

16-26,

August

(see

international

amidst

s ub j e c t ,

the on

fourth

Carleton-Ottawa

like

to

acknowledge

Sciences and Engineering

Carleton University

for

support

o