出版社:科学出版社
年代:2008
定价:58.0
《李群和李代数》共3本,由该领域国际权威的专家撰写,涵盖了该领域所有重要的方向和理论,内容非常全面,有很高的参考价值。
Ⅰ.FoundationsofLieTheory
A.L.Onishchik,E.B.Vinberg
Ⅱ.LieTransformationGroups
V.V.Gorbatsevich,A.L.Onishchik
AuthorIndex
SubjectIndex
ThebookbyGorbatsevich,OnishchikandVinbergisthefirstvolumeinasubseriesoftheEncyclopaediadevotedtothetheoryofLiegroupsandLiealgebras.Thebookcontainsnumerousexamplesanddescribesconnectionswithtopology,differentialgeometry,analysisandapplications.Itiswrittenforgraduatestudentsandresearchersinmathematicsandtheoreticalphysics. ThebookbyGorbatsevich,OnishchikandVinbergisthefirstvolumeinasubseriesoftheEncyclopaediadevotedtothetheoryofLiegroupsandLiealgebras. ThefirstpartofthebookdealswiththefoundationsofthetheorybasedontheclassicalglobalapproachofChevalleyfollowedbyanexpositionofthealternativeapproachviatheuniversalenvelopingalgebraandtheCampbell-Hausdorffformula.ItalsocontainsasurveyofcertaingeneralizationsofLiegroups. ThesecondmoreadvancedparttreatsthetopicofLietransformationgroupscoveringe.g.propertiesoforbitsandstabilizers,homogeneousfibrebundles,Frobeniusduality,groupsofautomorphismsofgeometricstructures,Liealgebrasofvectorfieldsandtheexistenceofslices.Theworkofthelastdecadesincludingthemostrecentresearchresultsiscovered. Thebookcontainsnumerousexamplesanddescribesconnectionswithtopology,differentialgeometry,analysisandapplications.Itiswrittenforgraduatestudentsandresearchersinmathematicsandtheoreticalphysics.
(俄罗斯) 奥尼契科 (Onishchik,A.L.) 等, 编著
(俄罗斯) 奥尼契科 (Onishchik,A.L.) 等, 编著
(美) 范阮达若詹 (Varadarajan,V.S.) , 著
赵旭安, 编著
(美) 布赖恩, 著
(德) 希尔格特 (Hilgert,J.) , 著
(美) 塞潘斯基 (Sepanski,M.R.) , 主编
(美) 科沃里 (Chevalley,C.) , 著
(美) 巴浦, 著