TY  - BOOK
AU  - Jantzen,Chris
TI  - Degenerate Principal Series for Symplectic Groups
T2  - Memoirs of the American Mathematical Society
SN  - 9781470400651
AV  - QA247 -- .J368 1993eb 
U1  - 512/.74 
PY  - 1993///
CY  - Providence
PB  - American Mathematical Society
KW  - p-adic fields
KW  - Symplectic groups
KW  - Representations of groups
KW  - Hecke algebras
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113762
ER  -