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1、SpringerMonographsinMathematicsPatriceTauvelRupertW.T.YuLieAlgebrasandAlgebraicGroupsWith44Figures123PatriceTauvelRupertW.T.YuDépartementdeMathématiquesUniversitédePoitiersBoulevardMarieetPierreCurie,Téléport2–BP3017986962FuturoscopeChasseneuilcedex,Francee-mail:tauvel@math.univ-poitiers.fryuyu
2、@math.univ-poitiers.frLibraryofCongressControlNumber:2005922400MathematicsSubjectClassification(2000):17-01,17-02,17Bxx,20GxxISSN1439-7382ISBN-103-540-24170-1SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-24170-6SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,w
3、hetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLaw
4、ofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringeronline.com©Springer-VerlagBerlinHeidelberg2005PrintedinGermanyTheuseofgeneraldescriptivenam
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6、bergPrintedonacid-freepaper41/sz-543210PrefaceThetheoryofgroupsandLiealgebrasisinterestingformanyreasons.Inthemathematicalviewpoint,itemploysatthesametimealgebra,analysisandgeometry.Ontheotherhand,itintervenesinotherareasofscience,inparticularindifferentbranchesofphysicsandchemistry.Itisanactive
7、domainofcurrentresearch.Oneofthedifficultiesthatgraduatestudentsormathematiciansinterestedinthetheorycomeacross,isthefactthatthetheoryhasverymuchadvanced,andconsequently,theyneedtoreadavastamountofbooksandarticlesbeforetheycouldtack
