Cohomological Induction and Unitary Representations (PMS-45), Volume 45 / / David A. Vogan, Anthony W. Knapp.
This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1995 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Princeton Mathematical Series ;
45 |
| Online Access: | |
| Physical Description: | 1 online resource (968 p.) |
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Table of Contents:
- Frontmatter
- CONTENTS
- PREFACE
- PREREQUISITES BY CHAPTER
- STANDARD NOTATION
- INTRODUCTION
- CHAPTER I. HECKE ALGEBRAS
- CHAPTER II. THE CATEGORY C(g, K)
- CHAPTER III. DUALITY THEOREM
- CHAPTER IV. REDUCTIVE PAIRS
- CHAPTER V. COHOMOLOGICAL INDUCTION
- CHAPTER VI. SIGNATURE THEOREM
- CHAPTER VII. TRANSLATION FUNCTORS
- CHAPTER VIII. IRREDUCIBILITY THEOREM
- CHAPTER IX. UNITARIZABILITY THEOREM
- CHAPTER X. MINIMAL K TYPES
- CHAPTER XI. TRANSFER THEOREM
- CHAPTER XII. EPILOG: WEAKLY UNIPOTENT REPRESENTATIONS
- APPENDIX A. MISCELLANEOUS ALGEBRA
- APPENDIX B. DISTRIBUTIONS ON MANIFOLDS
- APPENDIX C. ELEMENTARY HOMOLOGICAL ALGEBRA
- APPENDIX D. SPECTRAL SEQUENCES
- NOTES
- REFERENCES
- INDEX OF NOTATION
- INDEX