Representation Theory of Semisimple Groups : : An Overview Based on Examples (PMS-36) / / Anthony W. Knapp.

• Superior document: Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
• VerfasserIn: Knapp, Anthony W.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1986
• Year of Publication: 2016
• Edition: With a New preface by the author
• Language: English
• Series: Princeton Mathematical Series ; 32
• Physical Description: 1 online resource (800 p.)
• Other title: 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∞ Vectors and the Universal Enveloping Algebra --; 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400883974; 9783110501063; 9783110442496
• DOI: 10.1515/9781400883974
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Anthony W. Knapp.

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.