Lectures on Lie groups - Hsiang, Wu Yi (World Scientific, 2000)
Lecture 1 Linear Groups and Linear Representations; 1. Basic Concepts and Definitions; 2. A Brief Overview; 3. Compact Groups, Haar Integral and the Averaging Method; 4. Frobenius-Schur Orthogonality and the Character Theory; 5. Classification of Irreducible Complex Representations of S3; 6. L2(G) and Concluding Remarks; Lecture 2 Lie Groups and Lie Algebras; 1. One-parameter Subgroups and Lie Algebras; 2. Lie Subgroups and the Fundamental Theorem of Lie; 3. Lie Homomorphisms and Simply Connected Lie Groups; 4. Adjoint Actions and Adjoint Representations