| Description |
1 online resource (260 pages) |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; Volume 235, Number 1108 (third of 5 numbers) |
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Memoirs of the American Mathematical Society ; Volume 235, no. 1108 (third of 5 numbers)
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| Contents |
Cover -- Title page -- Chapter 1. Introduction -- Acknowledgement -- Notation -- Chapter 2. Statement of the main theorems -- 2.1.-groups and -embeddings -- 2.2. Formalism of local parameters -- 2.3. Formal global parameters -- 2.4. Endoscopic data and parameters -- 2.5. Statement of main results -- 2.6. Review of earlier results -- Chapter 3. Local character identities and the intertwining relation -- 3.1. Local endoscopic transfer of test functions -- 3.2. Characterization of the local classification |
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3.3. Normalization of local intertwining operators3.4. The local intertwining relation, part I -- 3.5. The local intertwining relation, part II -- Chapter 4. Trace formulas and their stabilization -- 4.1. Discrete part of trace formula -- 4.2. Stabilization of trace formula -- 4.3. Preliminary comparison -- Chapter 5. The Standard model -- 5.1. Stable multiplicity formula -- 5.2. The global intertwining relation, part I -- 5.3. The global intertwining relation, part II -- 5.4. The spectral expansion, part I -- 5.5. The spectral expansion, part II |
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5.6. The endoscopic expansion5.7. The comparison -- 5.8. The two sign lemmas -- Chapter 6. Study of Critical Cases -- 6.1. The case of square-integrable parameters -- 6.2. The case of elliptic parameters -- 6.3. Supplementary parameter -- 6.4. Generic parameters with local constraints -- Chapter 7. Local Classification -- 7.1. Resumé on local parameters and local packets -- 7.2. Construction of global representation -- 7.3. Construction of global parameter -- 7.4. The local intertwining relation -- 7.5. Elliptic orthogonality relation |
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7.6. Local packets for non square-integrable parameters7.7. Local packets for square-integrable composite parameters -- 7.8. Local packets for simple parameters -- 7.9. Resolution -- Chapter 8. Nontempered representations -- 8.1. Duality operator of Aubert-Schneider-Stuhler -- 8.2. Local parameters -- 8.3. Construction of global parameters with local constraints -- 8.4. Local packets for square-integrable parameters -- 8.5. The local intertwining relation -- Chapter 9. Global classification -- 9.1. Completion of induction arguments, part I |
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9.2. Completion of induction arguments, part II9.3. Appendix -- Chapter 10. Addendum -- Bibliography -- Back Cover |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| Subject |
Linear algebraic groups.
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Class field theory.
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Algebraic number theory.
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Algebraic number theory
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Class field theory
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Linear algebraic groups
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| Form |
Electronic book
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| ISBN |
9781470422264 |
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1470422263 |
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