Course Outline

• Why representations? Symmetry and the Schroedinger equation
• Representation theory of discrete groups
• Crystalline point groups
• Macroscopic properties of crystals, molecular vibrations, crystal field splitting,
• The classification of discrete groups
• Lie groups and Lie algebras
• Cartan subalgebra, rank, weights, roots, simple roots, Dynkin diagrams
• SU(3) and the quark model, Young Tableau
• Cartan-Weyl classification of the compact semisimple Lie algebras
• The Lorentz group and its universal cover, SL(2,C) as examples of non-compact Lie groups

Back to Web page