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181   $ctxt
182   $cc
183   $acr
200 10$aOn stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups /$fMagdy Assem
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1998]
210  4$d©1998
215   $a1 online resource (119 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 635
300   $a"July 1998, volume 134, number 635 (first of 6 numbers)."
311   $a0-8218-0765-X 
320   $aIncludes bibliographical references (pages 100-101).
327   $a""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)) a??© g(2)""; ""3. The evaluation of f[sup(H)] at the identity""
327   $a""1. The integral of I??[sub(k)], 2 a??? k a??? n, Part A""""2. The integral of I??[sub(k)], 2 a??? k a??? n, Part B""; ""3. The integral of I??[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""
327   $a""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 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""
327   $a""Appendix I""""Appendix II""; ""References""
410  0$aMemoirs of the American Mathematical Society ;$vno. 635.
606   $aSymplectic groups
606   $ap-adic fields
606   $aRepresentations of groups
608   $aElectronic books.
615  0$aSymplectic groups.
615  0$ap-adic fields.
615  0$aRepresentations of groups.
676   $a510 s
676   $a512/.74
700   $aAssem$b Magdy$f1954-1996,$0999812
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480998503321
996   $aOn stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups$92295100
997   $aUNINA