Group Theory

This course is taught by Professors Hong-Hao Zhang and Yiwen Pan in 2018 at School of Physics of Sun Yat-Sen University.

Lecture notes
1. Definition, examples and rearrangement theorem of groups pdf
2. Subgroups and cosets pdf
3. Conjugate classes, invariant subgroups and quotient groups pdf
4. Isomorphism, homomorphism and homomorphic kernel theorem pdf
5. Transformation group, Cayley theorem, orbit and isotropic subgroup pdf
6. Direct and semi-direct products of groups pdf
7. Linear space, linear transformation and group representation
8. Equivalent representation, irreducible representation and unitary representation
9. Group space, group algebra and regular representation

Supplementary material
• Bloch theorem, translation group and first Brillouin zone pdf
• SO(4) symmetry of Coulomb potential pdf
• Aut(Sn) = Inn(Sn) = Sn pdf
• Exact sequence of homomorphism pdf
• Degree of freedom of Hermitian matrix and complex symmetric matrix pdf

Last updated: 2018-09-05