矩陣群

書 名: 矩陣群

作　者：（美）貝克

出版社：清華大學出版社

出版時間： 2009-11-1

ISBN: 9787302214847

開本： 16開

定價: 45.00元

本書講述李群和李代數基礎理論，內容先進，講述方法科學，易於掌握和使用。書中有大量例題和習題（附答案或提示），便於閱讀。適合用作大學數學系和物理系高年級本科生選修課教材、研究生課程教材或參考書。

Part I Basic Ideas and Examples

1 Real and Complex Matrix Groups

2 Exponentials, Differential Equations and One-parameter Subgroups

3 Tangent Spaces and Lie Algebras

4 Algebras, Quaternions and Quaternionic Symplectic Groups

5 Clifford Algebras and Spinor Groups

6 Lorentz Groups

Part II Matrix Groups as Lie Groups

7 Lie Groups

8 Homogeneous Spaces

9 Connectivity of Matrix Groups

Part III Compact Connected Lie Groups and their Classification

10 Maximal Tori in Compact Connected Lie Groups

11 Semi simple Factorisation

12 Roots Systems, Weyl Groups and Dynkin Diagrams

Hints and Solutions to Selected Exercises

Bibliography

Index