Jantzen, Chris. <br/><br/>
Degenerate Principal Series for Symplectic Groups. 

 - 1st ed. 
 - 1 online resource (130 pages) 
 - Memoirs of the American Mathematical Society ;  v.102 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781470400651 
<br/><br/><label>Subjects--Topical Terms: </label><br/>p-adic fields.<br/>Symplectic groups.<br/>Representations of groups.<br/>Hecke algebras.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA247 -- .J368 1993eb 
<br/><br/><label>Dewey Class. No.: </label>512/.74