LEADER 04371nam 2200601 450 001 9910822593503321 005 20170814182031.0 010 $a0-8218-8151-5 010 $a0-8218-4366-4 035 $a(CKB)3240000000069998 035 $a(EBL)3113172 035 $a(SSID)ssj0000629440 035 $a(PQKBManifestationID)11359702 035 $a(PQKBTitleCode)TC0000629440 035 $a(PQKBWorkID)10735700 035 $a(PQKB)11046728 035 $a(MiAaPQ)EBC3113172 035 $a(RPAM)15313939 035 $a(PPN)197107990 035 $a(EXLCZ)993240000000069998 100 $a20080603h20082008 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRepresentation theory of real reductive Lie groups $eAMS-IMS-SIAM Joint Summer Research Conference, June 4-8, 2006, Snowbird, Utah /$fJames Arthur, Wilfried Schmid, Peter E. Trapa, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008] 210 4$dİ2008 215 $a1 online resource (258 p.) 225 1 $aContemporary mathematics ;$v472 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Preface""; ""Guide to the Atlas Software: Computational Representation Theory of Real Reductive Groups""; ""Problems for Real Groups""; ""1. Endoscopic transfer""; ""2. Endoscopic character identities""; ""3. Orthogonality relations""; ""4. Weighted orbital integrals""; ""5. Intertwining operators and residues""; ""6. Twisted groups""; ""7. Trace identities for intertwining operators""; ""8. Construction of A-packets""; ""9. Properties of A-packets""; ""10. Functorial transfer""; ""References""; ""Unitarizable Minimal Principal Series of Reductive Groups""; ""1. Introduction"" 327 $a""2. Minimal principal series for real groups""""3. Graded Hecke algebra and p-adic groups""; ""4. Petite K-types for split real groups""; ""5. Spherical unitary dual""; ""6. Lists of unitary spherical parameters""; ""References""; ""Computations in Real Tori""; ""Weighted Orbital Integrals""; ""Introduction to Endoscopy""; ""1. Introduction""; ""1.1. What is endoscopy about?""; ""1.2. The contents of these lectures""; ""2. Some basic definitions""; ""2.1. Orbital integrals""; ""2.2. Pseudo-coefficients for discrete series""; ""2.3. Stable conjugacy""; ""2.4. L-packets"" 327 $a""2.5. Arthur packets""""2.6. The Weil and the Langlands groups""; ""2.7. L-groups and Langlands parameters""; ""3. GL(2)""; ""3.1. Representations of GL(2,R)""; ""3.2. Langlands parameters for G L(2, R)""; ""3.3. Endoscopy for GL(2, F)""; ""4. SL(2)""; ""4.1. Endoscopy for SL(2, R)""; ""4.2. Representations of SL(2, R)""; ""4.3. Langlands parameters for SL(2, R)""; ""4.4. Character identities""; ""4.5. Asymptotic behaviour of orbital integrals and geometric transfer""; ""5. U(2, 1)""; ""5.1. Endoscopy for U(2, 1)""; ""5.2. Discrete series and transfer for U(2, 1)"" 327 $a""5.3. The dual picture for U(2, 1)""""6. Galois cohomology and Endoscopy""; ""6.1. Non abelian hypercohomology""; ""6.2. Galois cohomology and abelianized cohomology""; ""6.3. Stable conjugacy and k-orbital integrals""; ""6.4. Stable conjugacy and compact Cartan subgroups over R""; ""6.5. Endoscopic groups""; ""6.6. The dual picture""; ""6.7. Endoscopic transfer""; ""7. Discrete series and endoscopy""; ""7.1. L-packets of discrete series over R""; ""7.2. General Discrete transfer""; ""8. Further developments""; ""8.1. K-groups""; ""8.2. The twisted case"" 327 $a""8.3. Trace formula stabilization""""9. Bibliography""; ""Tempered Endoscopy for Real Groups I: Geometric Transfer with Canonical Factors"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 472. 606 $aRepresentations of Lie groups$vCongresses 615 0$aRepresentations of Lie groups 676 $a512/.482 702 $aArthur$b James$f1944- 702 $aSchmid$b Wilfried$f1943- 702 $aTrapa$b Peter E.$f1974- 712 12$aAMS-IMS-SIAM Joint Summer Research Conference 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910822593503321 996 $aRepresentation theory of real reductive Lie groups$9782493 997 $aUNINA