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UNINA9910480680203321 |
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Autore |
Hales Thomas Callister |
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Titolo |
The subregular germ of orbital integrals / / Thomas C. Hales |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1992 |
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©1992 |
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ISBN |
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Descrizione fisica |
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1 online resource (161 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 99, Number 476 |
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Disciplina |
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Soggetti |
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p-adic fields |
Representations of groups |
Germs (Mathematics) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 1992, volume 99, number 476 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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. |
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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"" |
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