《李群讲义》主要内容有：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。