Editorial Boar d
James E. Humphreys
2000 Mathematics Subject Classification. Primary 20C05, 22E46;
Secondary 20C30, 22E15.
ABSTRACT. This book is a comprehensive pedagogical presentation of the theory of representation
of finite and compact Lie groups. We discuss both the general theory and representation of specific
groups. Types of groups whose representation theory is discussed include finite groups of rotations,
permutation groups, and the classical compact Lie groups. Along the way, the structure theory
of the compact semisimple Lie groups is exposed. The approach tends to be that of an analyst.
Library of Congress Cataloging-in-Publication Data
Simon, Barry, 1946—
Representations of finite and compact groups / Barry Simon.
p. cm. — (Graduate studies in mathematics, ISSN 1065-7339; v. 10)
Includes bibliographical references and index.
ISBN 0-8218-0453-7 (alk. paper)
1. Representations of groups. 2. Finite groups. 3. Compact groups. I. Title. II. Series.
Copying and reprinting. Individual readers of this publication, and nonprofit libraries
acting for them, are permitted to make fair use of the material, such as to copy a chapter for use
in teaching or research. Permission is granted to quote brief passages from this publication in
reviews, provided the customary acknowledgment of the source is given.
Republication, systematic copying, or multiple reproduction of any material in this publication
is permitted only under license from the American Mathematical Society. Requests for such
permission should be addressed to the Acquisitions Department, American Mathematical Society,
201 Charles Street, Providence, Rhode Island 02904-2294, USA. Requests can also be made by
e-mail to firstname.lastname@example.org.
© Copyright 1996 by BARRY SIMON.
Printed in the United States of America.
@ The paper used in this book is acid-free and falls within the guidelines
established to ensure permanence and durability.
Visit the AMS home page at http://www.ams.org/
10 9 8 7 6 5 4 3 13 12 11 10 09 08