Homogeneous isoparametric submanifolds of Hilbert space [Elektronische Ressource] / von Kerstin Weinl

WHomogeneousderisophenarametricAugsburgsubmanif06oldsakulofersitHilberontAugsburgsphaftlicaFceatInaugural-DissertationUnivzuratErlangungvdesKerstinDoktorgradeseinlder20Mathematisch-NaturwissenscErstgutacProf.hbtTer:Prof.teDr.CarlosErnstderHeinhentze13.Zw2006eitgutacr:hDr.ter:OlmosProf.agDr.mJost-HinricundlichPrEscufung:henDezemburgerDrittgutachDiagramsCon4.6.ten1tsofListDatenof4.4.T)-actionsables1,iv73In39troKduction4.5.1diagramsChapterane1.yAmRigiditey82Theoremedforthomogeneous42isopKarametrClassicalicExceptionalsubmanifoldsactions3P1.1.withPreliminaryChapterDenitions5.1.andUniformResults673Exclusion1.2.SomeReductionareofablesthePcoerdegangdimensionDynkin5Actions1.3.eNormalKhomogeneousGeometrystructures67-ActionsChapteron2.GroupsTheonisotropGroupsyyrepresen4.7.tationarisingofG;isoparametric4.8.hmarkypdiagramersurfacesRigidit10submanifolds2.1.mStructure63ofultiplicittheandprincipalNonisotrop69ysomegroup210on2.2.tations,Decomps-represenoendix.sitionBibliographofenslaufeigenspacesonlicE4niii14ane2.3.diagramsDecomp4.2.oofsitionypofKE=(0)2|4.3.assoofciated1mo=dules215452.4.ActionsMotheduLiele46sActionsofthetheLieisotrop50yCohomogeneitrepresenonetatio57nDynkinfornotirreduciblefromeigenspace(sHE59nActions17equal2.5.edReductionDynkinto60elemen5.taryyisoparametricisoparametrich62ypUniformersurfaceultiplicits2295.2.Chapterm3.yCanonical4connections8of5.3.isoparametricuniformhultiplicitiesyp5.4.ersurfacesof31DynkinChapter74.5.