Editorial Boar d James E. Humphreys Lance Small 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. QA176.S56 1996 512'.2—dc20 95-42958 CIP 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 reprint-permission@ams.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
Previous Page Next Page