Lecture 1 Linear Groups and Linear Representations Lecture 2 Lie Groups and Lie Algebras Lecture 3 Orbital Geometry of the Adjoint Action Lecture 4 Coxeter Groups， Weyl Reduction and Weyl Formulas Lecture 5 Structural Theory of Compact Lie Algebras Lecture 6 Classification Theory of Compact Lie Algebras and Compact Connected Lie Groups
