||Discrete groups: Cyclic groups; Permutation groups; Point groups, irreducible representations, great orthogonality theorem, character tables, applications in solid state physics.
Continuous groups: Space translational, time translational and rotational group symmetries in quantum mechanics. Introduction of Lie algebras, Lie groups, irreducible representations and Young Tbleau. Emphasis should be on SU (2) and SU (3) elaborating on angular momentum algebra, quark model involving isospin and hypercharge symmetries.
Dynamical symmetries in Hydrogen atom, Lorentz group and Poincare group symmetries.