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001 EBC3113762
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006 m o d |
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008 240724s1993 xx o ||||0 eng d
020 _a9781470400651
_q(electronic bk.)
020 _z9780821825495
035 _a(MiAaPQ)EBC3113762
035 _a(Au-PeEL)EBL3113762
035 _a(CaPaEBR)ebr10918704
035 _a(OCoLC)891383893
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQA247 -- .J368 1993eb
082 0 _a512/.74
100 1 _aJantzen, Chris.
245 1 0 _aDegenerate Principal Series for Symplectic Groups.
250 _a1st ed.
264 1 _aProvidence :
_bAmerican Mathematical Society,
_c1993.
264 4 _c©1993.
300 _a1 online resource (130 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aMemoirs of the American Mathematical Society ;
_vv.102
505 0 _aIntro -- 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.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _ap-adic fields.
650 0 _aSymplectic groups.
650 0 _aRepresentations of groups.
650 0 _aHecke algebras.
655 4 _aElectronic books.
776 0 8 _iPrint version:
_aJantzen, Chris
_tDegenerate Principal Series for Symplectic Groups
_dProvidence : American Mathematical Society,c1993
_z9780821825495
797 2 _aProQuest (Firm)
830 0 _aMemoirs of the American Mathematical Society
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113762
_zClick to View
999 _c69293
_d69293