Role of symmetry in physics.
Introduction to Group Theory
Introduction to group theory and representation theory. Brief discussion of finite groups. Matrix groups and the notion of Lie groups.
Symmetries and particle physics
Basic introduction to symmetries and particles of the standard model.
Lie Groups and Lie Algebras
The main part of the course is the treatment of Lie groups, Lie algebras and their representation theory, focussing on semi-simple Lie groups. We consider SU(2) and SU(3) and their representations, the Poincare and Lorentz groups and Heisenberg group and their representations.