03419nam 2200613 450 991078873680332120170918220622.01-4704-0244-0(CKB)3360000000464839(EBL)3114423(SSID)ssj0000889054(PQKBManifestationID)11521339(PQKBTitleCode)TC0000889054(PQKBWorkID)10876004(PQKB)11715706(MiAaPQ)EBC3114423(RPAM)4982174(PPN)195415396(EXLCZ)99336000000046483919980923d1999 uy| 0engur|n|---|||||txtccrMatching of orbital integrals on GL(4) and GSp(2) /Yuval Z. FlickerProvidence, Rhode Island :American Mathematical Society,1999.1 online resource (127 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 655"January 1999, volume 137, number 655 (fourth of 6 numbers)."0-8218-0959-8 Includes bibliographical references.""Contents""; ""Abstract""; ""Introduction""; ""Part I. Preparations""; ""A. Statement of Theorem""; ""B. Stable conjugacy""; ""C. Explicit representatives""; ""D. Stable Î?-conjugacy""; ""E. Useful facts""; ""F. Endoscopic groups""; ""G. Instability""; ""H. Kazhdan's decomposition""; ""I. Decompositions for GL(2)""; ""J. Decomposition for Sp(2)""; ""Part II. Main comparison""; ""A. Strategy""; ""B. Twisted orbital integrals of type (I)""; ""C. Orbital integrals of type (I)""; ""D. Comparison in stable case (I), E/F unramified""; ""E. Comparison in stable case (I), E/F ramified""""F. Endoscopy for H = GS[sub(p)](2), type (I)""""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""Twisted endoscopic group of type I.F.3, E/F unramified""; ""G. Twisted orbital integrals of type (II)""; ""H. Orbital integrals of type (II)""; ""I. Comparison in case (II), E/E[sub(3)] ramified (e = 2)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""J. Comparison in case (II), E/E[sub(3)] unramified (e = 1)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.3""; ""K. Endoscopy for GS[sub(p)](2), type (II)""; ""L. Comparison in case (III)""""Unstable twisted case. Twisted endoscopic group of type I.F.2""""M. Comparison in case (IV)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""Part III. Semi simple reduction""; ""A. Review""; ""B. Case of torus of type (I)""; ""C. Case of torus of type (II)""; ""D. Case of torus of type (III)""; ""E. Case of torus of type (IV)""; ""References""Memoirs of the American Mathematical Society ;no. 655.Symplectic groupsTrace formulasOrbit methodRepresentations of groupsSymplectic groups.Trace formulas.Orbit method.Representations of groups.510 s512/.74Flicker Yuval Z(Yuval Zvi),1955-1501799MiAaPQMiAaPQMiAaPQBOOK9910788736803321Matching of orbital integrals on GL(4) and GSp(2)3861806UNINA