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| Preface Using This Book Part I:Finite Groups 1 Representations of Finite Groups 2 Characters 3 Examples;Induced Representations;Group Algebras;Real Representation 4 Representations of ;Young Diagrams and Frobenius's Character Formula 5 Representations of and GL2 6 Weyl's Construction Part II:Lie Groups and Lie Algebras 7 Lie Groups 8 Lie Algebras and Lie Groups 9 Initial Classification of Lie Algebras 10 Lie Algebras in Dimensions One,Two,and Three 11 Representations of 12 Representations of ,part I 13 Representations of ,Part II:Mainly Lots of Examples Part III:The Classical Lie Algebras and Their Representations 14 The General Set-up :Analyzing the Structure and Representations of an Arbitrary Semisimple Lie Algebra 15 sI4 and sI4 16 Symplectic Lie Algebras 17 sP6 AND sP2n 18 Orthogonal Lie Algebras 20 Spin Representations OF Part IV:Lie Theory 21 The Classification of Complex Simple Lie Algebras 22 and Other Exception Lie Algebras 23 Complex Lie Groups;Characters 24 Weyl Character Formula 25 More Character Foumulas 26 Real Lie Algebras and Lie Groups Appendices Hints,Answers,and References Bibliography Index of Symbols Index |
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