表示論基本教程

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本書以英文的形式介紹了表示論基本教程。

書籍目錄

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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