03483nam 2200589 450 991048068020332120170821172006.01-4704-0902-X(CKB)3360000000464660(EBL)3113861(SSID)ssj0000976574(PQKBManifestationID)11623413(PQKBTitleCode)TC0000976574(PQKBWorkID)11034036(PQKB)11503813(MiAaPQ)EBC3113861(PPN)195413598(EXLCZ)99336000000046466020140904h19921992 uy 0engur|n|---|||||txtccrThe subregular germ of orbital integrals /Thomas C. HalesProvidence, Rhode Island :American Mathematical Society,1992.©19921 online resource (161 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 99, Number 476"September 1992, volume 99, number 476 (third of 4 numbers)."0-8218-2539-9 Includes bibliographical references.""Contents""; ""Introduction""; ""I. Basic Constructions""; ""1. Background Information""; ""2. The Igusa Variety""; ""3. The Variety S[sup(0)]""; ""4. The Morphism S[sub(1)] â?? S""; ""5. Cocycles""; ""6. The Data""; ""II. Coordinates and Coordinate Relations""; ""1. The Coordinates x(W,(β)""; ""2. The Coordinates Ï?(β)""; ""3. The Extension of Ï?(β) to Y""""; ""4. The Coordinate Ring""; ""5. A Computation of t[sup(-1)]n[sup(-1)]tn""; ""6. A Technical Lemma""; ""7. Application to G[sub(2)]""; ""8. The Functions n[sub(γ)]""; ""9. The Fundamental Divisors on Y[sub(Î?)]""""III. Groups of Rank Two""""1. Zero Patterns""; ""2. Coordinate Relations""; ""3. Exclusion of Spurious Divisors (rank two)""; ""IV. The Subregular Spurious Divisor""; ""1. Subregular Unipotent Conjugacy Classes""; ""2. Exclusion of Spurious Divisors""; ""3. The graph Î?[sub(0)]""; ""4. The Modified Star""; ""5. Weyl Chambers""; ""6. A Lemma about Cells""; ""7. Contact""; ""8. Assumption 3.1""; ""V. The Subregular Fundamental Divisor""; ""1. Regularity""; ""2. Igusa Theory and Measures""; ""3. Principal Value Integrals at Points of E[sub(α)] â?© E[sub(β)]""""4. Igusa Data for Interchanged Divisors""""5. Transition Functions""; ""6. Coordinate Relations""; ""VI. Rationality and Characters""; ""1. Rationality""; ""2. The Characters k(E[sub(α)])""; ""3. m[sub(k)](e) and the Vanishing of Integrals""; ""VII. Applications to Endoscopic Groups""; ""1. Endoscopic Groups""; ""2. Characters, Centers, and Endoscopic Groups""; ""3. Compatibility of Characters""; ""4. Stable Orbital Integrals""; ""5. Unitary Groups""; ""References""; ""Notation and Conventions""Memoirs of the American Mathematical Society ;Volume 99, Number 476.p-adic fieldsRepresentations of groupsGerms (Mathematics)Electronic books.p-adic fields.Representations of groups.Germs (Mathematics)512/.74Hales Thomas Callister477628MiAaPQMiAaPQMiAaPQBOOK9910480680203321The subregular germ of orbital integrals2259213UNINA