In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process. This book is a model of exposition and an invaluable resource for both graduate students and researchers. Although theorems are always stated precisely, many illustrative examples or classes of examples are given. To support this unique approach, the author includes for the reader a useful 300-item bibliography and an extensive section of notes.
Author(s): Anthony W. Knapp
Series: Princeton Landmarks in Mathematics and Physics
Publisher: Princeton University Press
Year: 2001
Language: English
Commentary: 3rd printing 2001
Pages: 773+xix
Title
Contents
Preface to the Princeton Landmarks in Mathematics Edition
Preface
I. Scope of the Theory
II. Representations of SU(2), SL(2, R) and SL(2, C)
III. Cinfty Vectors and the Universal Enveloping Algebra
IV. Representations of Compact Lie Groups
V. Structure Theory for Noncompact Groups
VI. Holomorphic Discrete Series
VII. Induced Representations
VIII. Admissible Representations
IX. Construction of Discrete Series
X. Global Characters
XI. Introduction to Plancherel Formula
XII. Exhaustion of Discrete Series
XIII. Plancherel Formula
XIV. Irreducible Tempered Representations
XV. Minimal K Types
XVI. Unitary Representations
Appendix A. Elementary Theory of Lie Groups
Appendix B. Regular Singular Points of Partial Differential Equations
Appendix C. Roots and Restricted Roots for Classical Groups
Notes
References
Index of Notation
Index
