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