Endoscopic classification of representations of quasi-split unitary groups /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mok, Chung Pang, 1981- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2014.
Colección:Memoirs of the American Mathematical Society ; Volume 235, no. 1108 (third of 5 numbers)
Temas:
Linear algebraic groups.
Class field theory.
Algebraic number theory.
Groupes linéaires algébriques.
Théorie du corps de classes.
Théorie algébrique des nombres.
Algebraic number theory
Class field theory
Linear algebraic groups
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • 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
  • 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
  • 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
  • 9.2. Completion of induction arguments, part II9.3. Appendix
  • Chapter 10. Addendum
  • Bibliography
  • Back Cover

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