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The subregular germ of orbital integrals / / Thomas C. Hales



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Autore: Hales Thomas Callister Visualizza persona
Titolo: The subregular germ of orbital integrals / / Thomas C. Hales Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 1992
©1992
Descrizione fisica: 1 online resource (161 p.)
Disciplina: 512/.74
Soggetto topico: p-adic fields
Representations of groups
Germs (Mathematics)
Soggetto genere / forma: Electronic books.
Note generali: "September 1992, volume 99, number 476 (third of 4 numbers)."
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: ""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""
Titolo autorizzato: The subregular germ of orbital integrals  Visualizza cluster
ISBN: 1-4704-0902-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480680203321
Lo trovi qui: Univ. Federico II
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Serie: Memoirs of the American Mathematical Society ; ; Volume 99, Number 476.