表示论基本教程
2005-6
世界图书出版公司
William Fulton,Joe Harris
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本书以英文的形式介绍了表示论基本教程。
PrefaceUsing This BookPart I:Finite Groups1 Representations of Finite Groups2 Characters3 Examples;Induced Representations;Group Algebras;Real Representation4 Representations of ;Young Diagrams and Frobenius's Character Formula5 Representations of and GL26 Weyl's ConstructionPart II:Lie Groups and Lie Algebras7 Lie Groups8 Lie Algebras and Lie Groups9 Initial Classification of Lie Algebras10 Lie Algebras in Dimensions One,Two,and Three11 Representations of 12 Representations of ,part I13 Representations of ,Part II:Mainly Lots of ExamplesPart III:The Classical Lie Algebras and Their Representations14 The General Set-up :Analyzing the Structure and Representations of an Arbitrary Semisimple Lie Algebra15 sI4 and sI416 Symplectic Lie Algebras17 sP6 AND sP2n 18 Orthogonal Lie Algebras20 Spin Representations OF Part IV:Lie Theory21 The Classification of Complex Simple Lie Algebras22 and Other Exception Lie Algebras23 Complex Lie Groups;Characters24 Weyl Character Formula25 More Character Foumulas26 Real Lie Algebras and Lie GroupsAppendicesHints,Answers,and ReferencesBibliographyIndex of SymbolsIndex
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很早就想买了，到手感觉很不错了，而且物流很给力，京东上同时买的东西都还没到，卓越比以前提高很多效率了，真不错
这本书是老师推荐的，主要内容是Lie群，讲得很清楚，很容易看懂，而且很有深度，GTM里面关于李群的书中非常浅显易懂的一本。