Seminar on Group Theory

The chapters and sections refer to the book "Group Theory" by P.Ramond

1. Finite Groups part 1 (Chapter 2.1-2.3: Group axioms, Finite groups of low order, Permutations)
2. Finite Groups part 2 (2.4: Basic concepts)
3. Representations part 1 (3.1-3.4: Introduction, Schur's lemmas, Kronecker Products)
4. Representations part 2 (3.5-3.9: Real and complex representations, Embeddings, Examples (selection of 3.7-3.9)
5. Representations part 3 (3.10-3.13: Semi-direct products, Induced representations, Invariants, Coverings)
6. SU(2) (short overview over 5.1-5.4, Example from 5.5 (e.g. 5.5.2 „The Bohr atom“))
7. SU(3) part 1 (6.1-…)
8. SU(3) part 2 (… -6.7. Focus on quark model as application)
9. Classification of Lie algebras part 1 (7.1-…)
10. Classification of Lie algebras part 2 (…-7.5)