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1、ThispageintentionallyleftblankGROUPTHEORYAPhysicistsSurveyGrouptheoryhaslongbeenanimportantcomputationaltoolforphysicists,but,withtheadventoftheStandardModel,ithasbecomeapowerfulconceptualtoolaswell.Thisbookintroducesphysiciststomanyofthefascinatingmathematicalaspectsofgrou
2、ptheory,andmathematicianstoitsphysicsapplications.Designedforadvancedundergraduateandgraduatestudents,thisbookgivesacomprehensiveoverviewofthemainaspectsofbothfiniteandcontinuousgrouptheory,withanemphasisonapplicationstofundamentalphysics.Finitegroupsareextensivelydiscussed,
3、highlightingtheirirreduciblerepresentationsandinvari-ants.Liealgebras,andtoalesserextentKacMoodyalgebras,aretreatedindetail,includingDynkindiagrams.Specialemphasisisgiventotheirrepresentationsandembeddings.ThegrouptheoryunderlyingtheStandardModelisdiscussed,alongwithitsimpo
4、rtanceinmodelbuilding.Applicationsofgrouptheorytotheclassificationofelementaryparticlesaretreatedindetail.PIERRERAMONDisDistinguishedProfessorofPhysicsattheUniversityofFloridaandDirectoroftheInstituteforFundamentalTheory.Hehasheldposi-tionsatFermiLab,YaleUniversityandCaltech
5、.Hehasmadeseminalcontributionstosupersymmetry,superstringtheoryandthetheoryofneutrinomasses,andisaMemberoftheAmericanAcademyofArts&Sciences.GroupTheoryAPhysicistsSurveyPIERRERAMONDInstituteforFundamentalTheory,PhysicsDepartmentUniversityofFloridaCAMBRIDGEUNIVERSITYPRESSCamb
6、ridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPaulo,Delhi,Dubai,TokyoCambridgeUniversityPressTheEdinburghBuilding,CambridgeCB28RU,UKPublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/97805218
7、96030©P.Ramond2010Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublishedinprintformat2010ISBN-13978-0-511-77474-
8、4eBook(EBL)ISBN-13978-0-521-89603-0HardbackCambridgeUniversityPresshasnoresponsibi
