lectures on Lie Groups 項武義

1. Linear Groups and Linear Representations
2. Lie Groups and Lie Algebras
3. Orbital Geometry of the Adjoint Action
4. Coxeter groups ,Weyl Reduction and Weyl Formulas
5. Structure Theory of Compact Lie Algebras
6. Classification Theory of Compact Lie Algebras and Compact Connected Lie Groups
7. Basic Structure Theory of Lie Algebras
8. Classification Theory of Complex semi-Simple Lie Algebras
9. Lie Groups and Symmetric Spaces ,the Calssification of Real Semi-Simple Lie Algebras and Symmetric Spaces