李群讲义PDF电子书下载

Lecture 1 Linear Groups and Linear Representations 1

Lecture 2 Lie Groups and Lie Algebras 20

Lecture 3 Orbital Geometry of the Adjoint Action 38

Lecture 4 Coxeter Groups,Weyl Reduction and Weyl Formulas 58

Lecture 5 Structural Theory of Compact Lie Algebras 78

Lecture 6 Classification Theory of Compact Lie Algebras and Compact Connected Lie Groups 93