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Record Nr. |
UNINA9910788734803321 |
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Autore |
Assem Magdy <1954-1996, > |
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Titolo |
On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups / / Magdy Assem |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1998] |
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©1998 |
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ISBN |
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Descrizione fisica |
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1 online resource (119 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 635 |
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Disciplina |
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Soggetti |
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Symplectic groups |
p-adic fields |
Representations of groups |
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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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"July 1998, volume 134, number 635 (first of 6 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 100-101). |
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Nota di contenuto |
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""Contents""; ""0. Introduction""; ""1. Unipotent orbits and prehomogeneous spaces""; ""1. Ranga Rao data""; ""2. Some classes of examples""; ""3. Induction of G(F)-unipotent classes""; ""2. The Hecke algebra and some Igusa local orbital zeta functions""; ""1. Unipotent orbital integrals as special values of orbital Igusa zeta functions""; ""2. GL(n,O[sub(F))]-orbit decomposition of Sym (n) and local densitites""; ""3. The K-decomposition of supp (X [omitted] f[sub(m)](1 + X)) â?© g(2)""; ""3. The evaluation of f[sup(H)] at the identity"" |
""1. The integral of Î?[sub(k)], 2 â?? k â?? n, Part A""""2. The integral of Î?[sub(k)], 2 â?? k â?? n, Part B""; ""3. The integral of Î?[sub(1)]""; ""4. The value f[sup(H) (1))] for H = SO[sup(E) (4) x SL(2)""; ""5. Matching results""; ""4. Matching of unipotent orbital integrals""; ""1. Unramified endoscopic data""; ""2. The map f [omitted] f[sup(H)""; ""3. Endoscopic induction of unipotent orbits""; ""4. Matching of regular unipotent orbital integrals""; ""5. Matching of unipotent orbital integrals for G = Sp(6) and its unramified endoscopic groups"" |
""6. Matching of subregular orbital integrals""""7. Matching of the orbits 2[sup(r)] 1[sup(2n-2r)], for r = 2,3""; ""8. Matching results for Sp(8)""; ""9. Endoscopic transfer of the trivial orbital integral""; ""10. Endoscopic |
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transfer of other orbital integrals""; ""11. Some remarks on the transfer factors""; ""5. Remarks on stability and endoscopic transfer""; ""1. Stable distributions""; ""2. Formal properties of endoscopic induction and stability""; ""3. Remarks on Shalika germs""; ""4. Conjecture (B) implies Conjecture (A)""; ""5. Stability and subregular packets""; ""6. Heuristics"" |
""Appendix I""""Appendix II""; ""References"" |
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