LEADER 06356nam 22018015 450 001 9910154752803321 005 20190708092533.0 010 $a1-4008-8177-3 024 7 $a10.1515/9781400881772 035 $a(CKB)3710000000620140 035 $a(SSID)ssj0001651247 035 $a(PQKBManifestationID)16426439 035 $a(PQKBTitleCode)TC0001651247 035 $a(PQKBWorkID)13700154 035 $a(PQKB)10595664 035 $a(MiAaPQ)EBC4738579 035 $a(DE-B1597)467930 035 $a(OCoLC)979746993 035 $a(DE-B1597)9781400881772 035 $a(EXLCZ)993710000000620140 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCharacters of Reductive Groups over a Finite Field. (AM-107), Volume 107 /$fGeorge Lusztig 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$d©1984 215 $a1 online resource (408 pages) $cillustrations 225 0 $aAnnals of Mathematics Studies ;$v278 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-691-08350-9 311 $a0-691-08351-7 320 $aIncludes bibliographical references and indexes. 327 $tFrontmatter -- $tTABLE OF CONTENTS -- $tINTRODUCTION -- $t1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY -- $t2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW -- $t3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X?W -- $t4. REPRESENTATIONS OF WEYL GROUPS -- $t5. CELLS IN WEYL GROUPS -- $t6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM -- $t7. SOME EXCEPTIONAL GROUPS -- $t8. DECOMPOSITION OF INDUCED REPRESENTATIONS -- $t9. CLASSICAL GROUPS -- $t10. COMPLETION OF THE PROOF OF THEOREM 4.23 -- $t11. EIGENVALUES OF FROBENIUS -- $t12. ON THE STRUCTURE OF LEFT CELLS -- $t13. RELATIONS WITH CONJUGACY CLASSES -- $t14. CONCLUDING REMARKS -- $tAPPENDIX -- $tREFERENCES -- $tSUBJECT INDEX -- $tNOTATION INDEX -- $tBackmatter 330 $aThis book presents a classification of all (complex)irreducible representations of a reductive group withconnected centre, over a finite field. To achieve this,the author uses etale intersection cohomology, anddetailed information on representations of Weylgroups. 410 0$aAnnals of mathematics studies ;$vNumber 107. 606 $aFinite groups 606 $aFinite fields (Algebra) 606 $aCharacters of groups 610 $aAddition. 610 $aAlgebra representation. 610 $aAlgebraic closure. 610 $aAlgebraic group. 610 $aAlgebraic variety. 610 $aAlgebraically closed field. 610 $aBijection. 610 $aBorel subgroup. 610 $aCartan subalgebra. 610 $aCharacter table. 610 $aCharacter theory. 610 $aCharacteristic function (probability theory). 610 $aCharacteristic polynomial. 610 $aClass function (algebra). 610 $aClassical group. 610 $aCoefficient. 610 $aCohomology with compact support. 610 $aCohomology. 610 $aCombination. 610 $aComplex number. 610 $aComputation. 610 $aConjugacy class. 610 $aConnected component (graph theory). 610 $aCoxeter group. 610 $aCyclic group. 610 $aCyclotomic polynomial. 610 $aDavid Kazhdan. 610 $aDense set. 610 $aDerived category. 610 $aDiagram (category theory). 610 $aDimension. 610 $aDirect sum. 610 $aDisjoint sets. 610 $aDisjoint union. 610 $aE6 (mathematics). 610 $aEigenvalues and eigenvectors. 610 $aEndomorphism. 610 $aEquivalence class. 610 $aEquivalence relation. 610 $aExistential quantification. 610 $aExplicit formula. 610 $aExplicit formulae (L-function). 610 $aFiber bundle. 610 $aFinite field. 610 $aFinite group. 610 $aFourier transform. 610 $aGreen's function. 610 $aGroup (mathematics). 610 $aGroup action. 610 $aGroup representation. 610 $aHarish-Chandra. 610 $aHecke algebra. 610 $aIdentity element. 610 $aInteger. 610 $aIrreducible representation. 610 $aIsomorphism class. 610 $aJordan decomposition. 610 $aLine bundle. 610 $aLinear combination. 610 $aLocal system. 610 $aMathematical induction. 610 $aMaximal torus. 610 $aModule (mathematics). 610 $aMonodromy. 610 $aMorphism. 610 $aOrthonormal basis. 610 $aP-adic number. 610 $aParametrization. 610 $aParity (mathematics). 610 $aPartially ordered set. 610 $aPerverse sheaf. 610 $aPointwise. 610 $aPolynomial. 610 $aQuantity. 610 $aRational point. 610 $aReductive group. 610 $aRee group. 610 $aSchubert variety. 610 $aScientific notation. 610 $aSemisimple Lie algebra. 610 $aSheaf (mathematics). 610 $aSimple group. 610 $aSimple module. 610 $aSpecial case. 610 $aStandard basis. 610 $aSubset. 610 $aSubtraction. 610 $aSummation. 610 $aSurjective function. 610 $aSymmetric group. 610 $aTensor product. 610 $aTheorem. 610 $aTwo-dimensional space. 610 $aUnipotent representation. 610 $aVector bundle. 610 $aVector space. 610 $aVerma module. 610 $aWeil conjecture. 610 $aWeyl group. 610 $aZariski topology. 615 0$aFinite groups. 615 0$aFinite fields (Algebra) 615 0$aCharacters of groups. 676 $a512/.2 686 $aSK 260$2rvk 700 $aLusztig$b George, $059231 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154752803321 996 $aCharacters of Reductive Groups over a Finite Field. (AM-107), Volume 107$92788036 997 $aUNINA LEADER 03022nam 22005533u 450 001 9910162874503321 005 20250416110439.0 010 $a9782511025123 010 $a2511025124 035 $a(CKB)3790000000019164 035 $a(EBL)2088600 035 $a(MiAaPQ)EBC2088600 035 $a(Au-PeEL)EBL2088600 035 $a(OCoLC)914149718 035 $a(PPN)248807188 035 $a(FR-PaCSA)88897299 035 $a(FRCYB88897299)88897299 035 $a(EXLCZ)993790000000019164 100 $a20150720d2014|||| u|| | 101 0 $afre 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTurquie $eL'A?me des Peuples 210 $aCork $cPrimento Digital Publishing$d2014 215 $a1 online resource (89 p.) 300 $aDescription based upon print version of record. 311 08$a9782875230652 311 08$a2875230654 327 $aCouverture; Page de titre; Carte; Avant-propos; Pourquoi la Turquie ?; Les miroirs du Bosphore; Reflets d'Istanbul; Cherchez la femme; « Nos Turcs »; La guerre des foulards; Une paix inquie?te; « Mais qui sont ces gens ? »; « Gezi a fait e?clater tout c?a »; Contourner le Bosphore ?; Des paroissiens tre?s discrets; Lutte pour la survie; Konya, la ville fide?le; Les plaisirs de la conversation; La re?sistance des saints; Istanbul, Pennsylvanie; L'E?tat-nation, pe?che? originel; Les disparus; Trente ans de combats; Pa?ques a? Diyarbak?r; Le secret des origines; « Nous sommes tous Arme?niens » 327 $a« Je demande pardon »Re?inventer la Turquie ?; Entretien - Edhem Eldem; « En Turquie, le nationalisme a e?chappe? a? toute remise en question »; Quelques personnages importants; Dans la collection L'A?me des Peuples; Bibliographie; Copyright 330 $a Parce que pour connai?tre les peuples, il faut d'abord les comprendreL'Occident a toujours e?te? son mode?le. Mais c'est en Orient que la Turquie moderne s'est construite sur les de?combres de l'empire ottoman. E?tre Turc, aujourd'hui, c'est vivre cette ambigui?te? sans complexe, porte? par le souffle de la modernite? et deux de?cennies de formidable croissance urbaine et e?conomique.Loin des cliche?s touristiques, forge?e par des re?alite?s contradictoires, l'a?me de la Turquie se de?voile au fil de ces pages, au fil de rencontres et de conversations empreintes de respect mutuel. Tout est passe? au crible : is 606 $aTurkey -- Civilization 606 $aTurkey -- Social conditions 606 $aTurkey -- Social policy 615 4$aTurkey -- Civilization. 615 4$aTurkey -- Social conditions. 615 4$aTurkey -- Social policy. 676 $a928.1092345 700 $ades peuples$b L'A?me$01230658 701 $aArsever$b Sylvie$01233122 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910162874503321 996 $aTurquie$92863327 997 $aUNINA