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