LEADER 03483nam 2200589 450 001 9910480680203321 005 20170821172006.0 010 $a1-4704-0902-X 035 $a(CKB)3360000000464660 035 $a(EBL)3113861 035 $a(SSID)ssj0000976574 035 $a(PQKBManifestationID)11623413 035 $a(PQKBTitleCode)TC0000976574 035 $a(PQKBWorkID)11034036 035 $a(PQKB)11503813 035 $a(MiAaPQ)EBC3113861 035 $a(PPN)195413598 035 $a(EXLCZ)993360000000464660 100 $a20140904h19921992 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe subregular germ of orbital integrals /$fThomas C. Hales 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1992. 210 4$d©1992 215 $a1 online resource (161 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 99, Number 476 300 $a"September 1992, volume 99, number 476 (third of 4 numbers)." 311 $a0-8218-2539-9 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Introduction""; ""I. Basic Constructions""; ""1. Background Information""; ""2. The Igusa Variety""; ""3. The Variety S[sup(0)]""; ""4. The Morphism S[sub(1)] a??? S""; ""5. Cocycles""; ""6. The Data""; ""II. Coordinates and Coordinate Relations""; ""1. The Coordinates x(W,(I?²)""; ""2. The Coordinates I??(I?²)""; ""3. The Extension of I??(I?²) 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(I?³)]""; ""9. The Fundamental Divisors on Y[sub(I??)]"" 327 $a""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 I??[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(I?±)] a??© E[sub(I?²)]"" 327 $a""4. Igusa Data for Interchanged Divisors""""5. Transition Functions""; ""6. Coordinate Relations""; ""VI. Rationality and Characters""; ""1. Rationality""; ""2. The Characters k(E[sub(I?±)])""; ""3. m[sub(k)](e) and the Vanishing of Integrals""; ""VII. Applications to Endoscopic Groups""; ""1. Endoscopic Groups""; ""2. Characters, Centers, and Endoscopic Groups""; ""3. Compatibility of Characters""; ""4. Stable Orbital Integrals""; ""5. Unitary Groups""; ""References""; ""Notation and Conventions"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 99, Number 476. 606 $ap-adic fields 606 $aRepresentations of groups 606 $aGerms (Mathematics) 608 $aElectronic books. 615 0$ap-adic fields. 615 0$aRepresentations of groups. 615 0$aGerms (Mathematics) 676 $a512/.74 700 $aHales$b Thomas Callister$0477628 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480680203321 996 $aThe subregular germ of orbital integrals$92259213 997 $aUNINA