词条 | 矩阵群 |
释义 | 图书信息书 名: 矩阵群 作 者:(美)贝克 出版社: 清华大学出版社 出版时间: 2009-11-1 ISBN: 9787302214847 开本: 16开 定价: 45.00元 内容简介本书讲述李群和李代数基础理论,内容先进,讲述方法科学,易于掌握和使用。书中有大量例题和习题(附答案或提示),便于阅读。适合用作大学数学系和物理系高年级本科生选修课教材、研究生课程教材或参考书。 图书目录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 |
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