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1、DongHoonLeeDepartmentofMathematicsCaseWesternReserveUniversityThestructureofcomplexLiegroupsCHAPMAN&HALL/CRCBocaRatonLondonNewYorkWashington,D.C.LibraryofCongressCataloging-in-PublicationDataLee,DongHoon,1938-ThestructureofcomplexLiegroups/DongHoonLee.p
2、.cm.—(Researchnotesinmathematics)Includesbibliographicalreferencesandindex.ISBN1-58488-261-1(alk.paper)1.Liegroups.I.Title.II.Chapman&Hall/CRCresearchnotesinmathematicsseries.QA387.L442001512′.55—dc212001042194Thisbookcontainsinformationobtainedfromauth
3、enticandhighlyregardedsources.Reprintedmaterialisquotedwithpermission,andsourcesareindicated.Awidevarietyofreferencesarelisted.Reasonableeffortshavebeenmadetopublishreliabledataandinformation,buttheauthorandthepublishercannotassumeresponsibilityfortheva
4、lidityofallmaterialsorfortheconsequencesoftheiruse.Neitherthisbooknoranypartmaybereproducedortransmittedinanyformorbyanymeans,electronicormechanical,includingphotocopying,microfilming,andrecording,orbyanyinformationstorageorretrievalsystem,withoutpriorpe
5、rmissioninwritingfromthepublisher.TheconsentofCRCPressLLCdoesnotextendtocopyingforgeneraldistribution,forpromotion,forcreatingnewworks,orforresale.SpecificpermissionmustbeobtainedinwritingfromCRCPressLLCforsuchcopying.DirectallinquiriestoCRCPressLLC,2000
6、N.W.CorporateBlvd.,BocaRaton,Florida33431.TrademarkNotice:Productorcorporatenamesmaybetrademarksorregisteredtrademarks,andareusedonlyforidentificationandexplanation,withoutintenttoinfringe.VisittheCRCPressWebsiteatwww.crcpress.com©2002byChapman&Hall/CRCN
7、oclaimtooriginalU.S.GovernmentworksInternationalStandardBookNumber1-58488-261-1LibraryofCongressCardNumber2001042194PrintedintheUnitedStatesofAmerica1234567890Printedonacid-freepaperTomyteacherKarlHeinrichHofmannPrefaceThesenotesaimatprovidinganintroduc
8、torystudyofthestructuretheoryofcomplexLiegroups.AgreatportionofthismaterialderivesfromacourseonthesubjectwhichwasgivenatTUDarmstadt,Germany,duringthesummertermof1997.ComplexLiegroupshavebeenusedoftenasauxiliariesinthestudyofrealL
