Degenerate principal series for symplectic groups / Chris Jantzen.
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| Online Access: |
Full Text (via ProQuest) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
1993.
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| Series: | Memoirs of the American Mathematical Society ;
Volume 102, no. 488. |
| Subjects: |
Table of Contents:
- 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""