表示論基本教程(英文版)（簡體書）

本書是一部很受歡迎的教材，初版於1991年，至今已被Springer出版社重印5次。全書分為四部分，26章，書中主要論述李群、李代數和經典群的有限維表示， 可作為大學高年級學生, 研究生及教師的教學用書。
目次：（一）有限群：有限群表示；特徵；實例；Ed表示；Ud 、GL2和 Fq表示；外爾結構。（二）李群和李代數：李群；李代數和李群；李代數的初始分類；一維、二維和三維中的李代數；sl2 C表示；sl3 C表示。（三）經典李代數及其示；任意半單李代數的結構與表示； Sl4 C和sln C;辛李代數；Sp6C和sp2n C;正交李代數；So6 C、 So7 C和som C;so m C自旋表示。（四）李理論：複單李群的分類；G2和其它例外李代數；複李群；外爾特徵公式；實李代數和李群。
讀者對象：數學及物理學專業的高年級本科生、研究生和教師。

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 Frobeniuss Character Formula
5 Representations of and GL2
6 Weyls 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