springer hilgert structure and geometry of lie groups (2012)外语英文电子书

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1、SpringerMonographsinMathematicsForfurthervolumes:www.springer.com/series/3733JoachimHilgertKarl-HermannNeebStructureandGeometryofLieGroupsJoachimHilgertKarl-HermannNeebMathematicsInstituteDepartmentofMathematicsUniversityofPaderbornFriedrich-AlexanderUniversitätWarburgerstr.100Erlangen-Nürn

2、berg33095PaderbornCauerstrasse11Germany91054Erlangenhilgert@math.uni-paderborn.deGermanyneeb@mi.uni-erlangen.deISSN1439-7382SpringerMonographsinMathematicsISBN978-0-387-84793-1e-ISBN978-0-387-84794-8DOI10.1007/978-0-387-84794-8SpringerNewYorkDordrechtHeidelbergLondonLibraryofCongressControlN

3、umber:2011942060MathematicsSubjectClassification(2010):7Bxx,22Exx,22Fxx©SpringerScience+BusinessMedia,LLC2012Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exce

4、ptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,

5、andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)PrefaceNowadaysthereareplentyoftextbooksonLiegroupstochoosefrom,sowefee

6、lweshouldexplainwhywedecidedtoaddanotheronetotherow.MostofthereadilyavailablebooksonLiegroupseitheraimatanelementaryin-troductionmostlyrestrictedtomatrixgroups,orelsetheytrytoprovidethebackgroundonsemisimpleLiegroupsneededinharmonicanalysisandunitaryrepresentationtheorywithaslittlegeneralthe

7、oryaspossible.In[HN91],wetriedtoexhibitthebasicprinciplesofLietheoryratherthanspecificmaterial,stressingtheexponentialfunctionasthemeansoftrans-latingproblemsandsolutionsbetweentheglobalandtheinfinitesimallevel.Inthatbook,writteninGermanforGermanstud