Syllabus
- General properties of groups (subgroup, coset, quotient group, homomorphism, direct product)
- Group representations (Irreducible representation, properties, CG coefficient)
- Finite groups (permutation groups, cyclic groups, classification)
- Lie groups (SO(3), SU(2), Lie algebra, general properties of simple Lie groups)
- Application: atomic spectra
- Application: condensed matter
- Application: special relativity
- Application: standard model
Recommended Text Book
- A. Zee, Group Theory in a Nutshell for Physicists, Princeton University Press, 2016.
- P. Ramond, Group Theory: A Physicist's Survey, Cambridge Univ. Press, 2010.
- H. F. Jones, Groups, Representations, and Physics, Institute of Physics Publishing, 2nd ed.,
- J. F. Cornwell, Group Theory in Physics: An Introduction, Academic Press, 1997.
- Wu-Ki Tung, Group Theory in Physics, World Scientific, 1985.
- H. Georgi, Lie Algebras in Particle Physics, Benjamin, 1982.
- E. P. Wigner, Group Theory, Academic Press, 1959.
- J. Talman, Special Functions, a Group-Theoretic Approach, Benjamin, 1968.
- M. Tinkham, Group Theory and Quantum Mechanics, 1964.
