Group Theory
- Foundations of Group Theory
- Group Structure and Representations
- Representation Theory
- The Symmetric Group
- Rotations in Two and Three Dimensions
- SO(3) and SU(2) groups
- Lie Groups
- Lie Algebras and Their Representations
- Compact Simple Lie Algebras
- Classical Families and Exceptional Groups
- Spinor Representations
- Schwinger and Induced Representations
- Wigner's Theorem
- Spacetime Symmetry
- Lorentz and Poincar Groups
- Generalised Coherent States and Symplectic Groups