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1、ThispageintentionallyleftblankGROUPTHEORYAPhysicistsSurveyGrouptheoryhaslongbeenanimportantcomputationaltoolforphysicists,but,withtheadventoftheStandardModel,ithasbecomeapowerfulconceptualtoolaswell.Thisbookintroducesphysiciststomanyofthefascinatingmathematicalaspectsofgrouptheory,andmathem
2、aticianstoitsphysicsapplications.Designedforadvancedundergraduateandgraduatestudents,thisbookgivesacomprehensiveoverviewofthemainaspectsofbothfiniteandcontinuousgrouptheory,withanemphasisonapplicationstofundamentalphysics.Finitegroupsareextensivelydiscussed,highlightingtheirirreduciblerepres
3、entationsandinvari-ants.Liealgebras,andtoalesserextentKacMoodyalgebras,aretreatedindetail,includingDynkindiagrams.Specialemphasisisgiventotheirrepresentationsandembeddings.ThegrouptheoryunderlyingtheStandardModelisdiscussed,alongwithitsimportanceinmodelbuilding.Applicationsofgrouptheorytoth
4、eclassificationofelementaryparticlesaretreatedindetail.PIERRERAMONDisDistinguishedProfessorofPhysicsattheUniversityofFloridaandDirectoroftheInstituteforFundamentalTheory.Hehasheldposi-tionsatFermiLab,YaleUniversityandCaltech.Hehasmadeseminalcontributionstosupersymmetry,superstringtheoryandth
5、etheoryofneutrinomasses,andisaMemberoftheAmericanAcademyofArts&Sciences.GroupTheoryAPhysicistsSurveyPIERRERAMONDInstituteforFundamentalTheory,PhysicsDepartmentUniversityofFloridaCAMBRIDGEUNIVERSITYPRESSCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPaulo,Delhi,Dubai,TokyoCambridge
6、UniversityPressTheEdinburghBuilding,CambridgeCB28RU,UKPublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521896030©P.Ramond2010Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionofrelevantc
7、ollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublishedinprintformat2010ISBN-13978-0-511-77474-4eBook(EBL)ISBN-13978-0-521-89603-0HardbackCambridgeUniversityPresshasnoresponsibi