05355 - Lie Groups, Lie Algebras, and Their Representations [Varadarajan].pdf

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Graduate Texts in Mathematics
Editorial Board
102
F. W. Gehring
C. C. Moore
P. R. Halmos (Managing Editor)
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TAKEUTI/ZARING. Introduction to Axiomatic Set Theory. 2nd ed.
OXTOBY. Measure and Category. 2nd ed.
SCHAEFFER. Topological Vector Spaces.
HIL TON/ST AMMBACH. A Course in Homological Algebra.
MACLANE. Categories for the Working Mathematician.
HUGHES/PIPER. Projective Planes.
SERRE. A Course in Arithmetic.
T AKEUTI/ZARING. Axiometic Set Theory.
HUMPHREYS. Introduction to Lie Algebras and Representation Theory.
COHEN. A Course in Simple Homotopy Theory.
CONWAY. Functions of One Complex Variable. 2nd ed.
BEALS. Advanced Mathematical Analysis.
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KELLEY. General Topology.
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JACOBSON. Lectures in Abstract Algebra I: Basic Concepts.
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JACOBSON. Lectures in Abstract Algebra III: Theory of Fields and Galois Theory.
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SPITZER. Principles of Random Walk. 2nd ed.
WERMER. Banach Algebras and Several Complex Variables. 2nd ed.
KELLEy/NAMIOKA et al. Linear Topological Spaces.
MONK. Mathematical Logic.
GRA UERT/FRITZSCHE. Several Complex Variables.
ARVESON. An Invitation to C*-Algebras.
KEMENy/SNELL/KNAPP. Denumerable Markov Chains. 2nd ed.
APOSTOL. Modular Functions and Dirichlet Series in Number Theory.
SERRE. Linear Representations of Finite Groups.
GILLMAN/JERISON. Rings of Continuous Functions.
KENDIG. Elementary Algebraic Geometry.
LOEVE. Probability Theory
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MOISE. Geometric Topology in Dimensions 2 and 3.
continued after Index
V. S. Varadarajan
Lie Groups, Lie Algebras, and
Their Representations
l ...
1
ttl
DILlMAN
UP
COLLEGE OF SCIENCE
CENTRAL LIBRARY
UDSCB0035772
1111111111111111111 11111111
erlag
Berlin Heidelberg Tokyo
V. S. Varadarajan
Department of Mathematics
University of California
Los Angeles, CA 90024
U.S.A.
Editorial Board
P. R. Halmos
Managt'ng
Editor
Department
of
Mathematics
Santa Clara University
Santa Clara, CA 95053
U.S.A.
F. W. Gehring
Department of
Mathematics
University of Michigan
Ann Arbor, M1 48109
U.S.A.
C. C. Moore
Department of
Mathematics
University of California
at Berkeley
Berkeley, CA 94720
U.S.A.
AMS Subject Classifications: 17B05, 17B10, 17B20, 22-01, 22E10, 22E46, 22E60
Library of Congress Cataloging in Publication Data
Varadarajan, V. S.
Lie groups, Lie algebras, and their representations.
(Graduate texts in mathematics; 102)
Bibliography: p.
Includes index.
1. Lie groups. 2. Lie algebras.
3. Representations of groups. 4. Representations
of algebras. I. Title. II. Series.
QA387.V35 1984
512'.55
84-1381
This book was originally published in the Prentice-Hall Series in Modern Analysis, 1974.
Selection from" Tree in Night Wind" copyright 1960 by Abbie Huston Evans. Reprinted
from her volume
Fact of Crystal
by permission of Harcourt Brace Jovanovich, Inc.
First published in
The New Yorker.
©
1974, 1984 by Springer-Verlag New York Inc.
All rights reserved. No part of this book may be translated or reproduced in any form
without written permission from Springer-Verlag, 175 Fifth Avenue, New York,
New York 10010, U.S.A.
Printed and bound by R. R. Donnelley & Sons, Harrisonburg, Virginia.
Printed in the United States of America.
9 8 765 432
ISBN 0-387-90969-9 Springer-Verlag New York Berlin Heidelberg Tokyo
ISBN 3-540-90969-9 Springer-Verlag Berlin Heidelberg New York Tokyo

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