Week 1 : Introduction to discrete groups, subgroups and generators, conjugacy classes
Week 2 : Symmetric groups, permutation group, cycle notation
Week 3 : Direct product groups, semi-direct product groups
Week 4 : Symmetries of molecules, point groups and stereographic projection
Week 5 : Matrix representation of groups, reducible and irreducible representation
Week 6 : Great orthogonality theorem and character tables, Mulliken notation, basis
Week 7 : Tensor product, projection operator, observables, selection rules, molecular vibrations
Week 8 : Continuous groups, generators, Lorentz transformation
Week 9 : Orthogonal groups and Lie algebra
Week 10 : Unitary groups, SU(2), SU(3), weight vector diagrams and root vector diagrams
Week 11 : Wigner-Eckart theorem, examples
Week 12 : Quark model, SU(3) baryons, mesons, Wigner-Eckart theorem, hydrogen atom, dynamical symmetry
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