05449 - The Classical Groups - Their Invariants and Representations [Weyl].pdf

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THE CLASSICAL GROUPS
(
PRINCETON MATHEMATICAL SERIES
)
Editors:
Wu-CHUNG HSIANG, JOHN MILNOR, and ELIAS M. STEIN
.1.
The Classical Groups, By HERMANN WEYL
3. An Introduction to Differential Geometry, By LuTHER PFAHLER EISENHART
4. Dimension Theory, By W. HuREwrcz and H. WALLMAN
The Laplace Transform, By D. V. WIDDER
7. Integration, By EDWARD J. McSHANE
- S".
Theory of Lie Groups:
1,
By C. CHEV ALLEY
9. Mathematical Methods of Statistics, By HARALD CRAMER
10. Several Complex Variables, By S. BocHNER and W. T. MARTIN
11.
Introduction to Topology, By S. LEFSHETZ
· f2. Algebraic Geometry and Topology, edited By R. H. Fox, D. C. SPENCER,
and
A.
W. TucKER
14. The Topology of Fibre Bundles, By NoRMAN STEENROD
15.
Foundations of Algebraic Topology, By SAMUEL ElLENBERG and NoRMAN
STEENROD
....J. 6. Functionals of Finite Riemann Surfaces, By MEN AHEM ScHIFFER and
DoNALD C. SPENCER.
17.
Introduction to Mathematical Logic, Vol.
1,
By ALoNzo CHURCH
jJ.
Homological Algebra, By H. CARTAN and S. ElLENBERG
20. The Convolution Transform, By
I. I.
HIRSCHMAN and D. V. WIDDER
.21.
Geometric Integration Theory, By H. WHITNEY
22. Qualitative Theory of Differential Equations, By V. V. NEMYTSKII and
V. V. STEPANOV
J3.
Topological Analysis, By GoRDON T. WHYBURN (revised
1964)
24.
Analytic Functions, By AHLFORS, BEHNKE and GRAUERT, BERS, et al.
.2,5.
Continuous Geometry, By JoHN voN NEUMANN
26. Riemann Surfaces, by
L.
AHLFoRs and
L.
SARro
27.
Differential and Combinatorial Topology, edited By S. S. CAIRNS
28.
Convex Analysis, By R. T. RocKAFELLAR
~
Global Analysis, edited By D.
C.
SPENCER and S. IYANAGA
30. Singular Integrals and Differentiability Properties of Functions, By
E. M. STEIN
31. Problems in Analysis, edited By R. C. GuNNING
32. Introduction to Fourier Analysis on Euclidean Spaces, By E. M. STEIN and
G. WEISS
·-o:
1
.
I
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jrHE CLASSICAL GROUPS
THEIR INVARIANTS
AND REPRESENTATIONS
I>
BY
HERMANN WEYL
\
\.
PRINCETON, NEW JERSEY
PRINCETON UNIVERSITY PRESS
Copyright 1939, 1946 by Princeton University Press
Second Edition, with Supplement
Reprinted 1953
Fifth Printing 1961
Sixth Printing 1964
Seventh Printing 1966
Eighth Printing 1973
ISBN 0-691-07923-4
Printed in the United States of America

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