02416nam 2200601 450 991082905060332120180613001258.01-4704-0065-0(CKB)3360000000464672(EBL)3113762(SSID)ssj0000888873(PQKBManifestationID)11455670(PQKBTitleCode)TC0000888873(PQKBWorkID)10866994(PQKB)11648099(MiAaPQ)EBC3113762(RPAM)4870885(PPN)195413717(EXLCZ)99336000000046467220140902h19931993 uy 0engur|n|---|||||txtccrDegenerate principal series for symplectic groups /Chris JantzenProvidence, Rhode Island :American Mathematical Society,1993.©19931 online resource (130 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 102, Number 488"March 1993, Volume 102, Number 488 (third of 4 numbers)."0-8218-2549-6 Includes bibliographical references.""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""""REFERENCES""Memoirs of the American Mathematical Society ;Volume 102, Number 488.p-adic fieldsSymplectic groupsRepresentations of groupsHecke algebrasp-adic fields.Symplectic groups.Representations of groups.Hecke algebras.512/.74Jantzen Chris1962-1594177MiAaPQMiAaPQMiAaPQBOOK9910829050603321Degenerate principal series for symplectic groups3914646UNINA