Degenerate principal series for symplectic groups /

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Jantzen, Chris, 1962- (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, 1993.
Collection:Memoirs of the American Mathematical Society ; Volume 102, no. 488.
Sujets:
p-adic fields.
Symplectic groups.
Representations of groups.
Hecke algebras.
Corps p-adiques.
Groupes symplectiques.
Représentations de groupes.
Algèbres de Hecke.
Hecke algebras
p-adic fields
Representations of groups
Symplectic groups
Accès en ligne:Texto completo
Table des matières:
  • TABLE OF CONTENTS
  • ABSTRACT
  • LIST OF FIGURES
  • LIST OF TABLES
  • INTRODUCTION
  • CHAPTER 1. NOTATION AND PRELIMINARIES
  • 1.1. S[sub(P2n)](F)
  • 1.2. Induced representations and Jacquet modules
  • CHAPTER 2. THE HECKE ALGEBRA APPROACH
  • 2.1. General theorems
  • 2.2. Basis for V[sup(bx)]
  • 2.3. Irreducibility when (order X[sub(u)]> 2
  • 2.4. Irreducibility conditions for (order X[sub(u)] = 2
  • 2.5. Irreducibility conditions for (order X[sub(u)] = 1
  • 2.6. Reducibility conditions for (order X[sub(u)] = 1
  • ""2.7. Reducibility conditions for (order X[sub(u)] = 2""""CHAPTER 3. IRREDUCIBILITY OF CERTAIN REPRESENTATIONS Ã? LA TADIC""; ""3.1. A general theorem on reducibility/irreducibility (in the regular case)""; ""3.2. Applications to degenerate principal series for S[sub(p2n)](F) (in the regular case)""; ""CHAPTER 4. IRREDUCIBILITY CRITERIA FOR DEGENERATE PRINCIPAL SERIES IN SP[sub(4)](F), SP[sub(6)](F), Ã? LA TADIC""; ""4.1. Extending definitions to the nonregular case""; ""4.2. Degenerate Principal Series in S[sub(p4)](F)""; ""4.3. Degenerate Principal Series in S[sub(p6)](F)""; ""APPENDIX""

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