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Title Representation Theory of Semisimple Groups : an Overview Based on Examples (PMS-36) / Anthony W. Knapp.
Imprint Princeton, NJ : Princeton University Press, [2016]


 Internet  Electronic Book    AVAILABLE
Edition With a New preface by the author.
Description 1 online resource
Series Princeton Mathematical Series ; 36
Note Available only to authorized UTEP users.
In English.
Online resource; title from PDF title page (publisher's Web site, viewed Sep. 08, 2016).
Contents Frontmatter -- Contents -- Preface to the Princeton Landmarks in Mathematics Edition -- Preface -- Acknowledgments -- Chapter I. Scope of the Theory -- Chapter II. Representations of SU(2), SL(2, ℝ) and SL(2, ℂ) -- Chapter III. C -- Chapter IV. Representations of Compact Lie Groups -- Chapter V. Structure Theory for Noncompact Groups -- Chapter VI. Holomorphic Discrete Series -- Chapter VII. Induced Representations -- Chapter VIII. Admissible Representations -- Chapter IX. Construction of Discrete Series -- Chapter X. Global Characters -- Chapter XI. Introduction to Plancherel Formula -- Chapter XII. Exhaustion of Discrete Series -- Chapter XIII. Plancherel Formula -- Chapter XIV. Irreducible Tempered Representations -- Chapter XV. Minimal K Types -- Chapter 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
Summary 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.