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Degenerate Principal Series for Symplectic Groups.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1993Copyright date: ©1993Edition: 1st edDescription: 1 online resource (130 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470400651
Subject(s): Genre/Form: Additional physical formats: Print version:: Degenerate Principal Series for Symplectic GroupsDDC classification:
  • 512/.74
LOC classification:
  • QA247 -- .J368 1993eb
Online resources:
Contents:
Intro -- 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)] &gt -- 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 Á 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), Á 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 -- REFERENCES.
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Intro -- 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)] &gt -- 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 Á 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), Á 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 -- REFERENCES.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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