## Symmetries in Physics – HS 2015

**Lecturer:** Prof. Niklas Beisert

Wednesday 8:45-10:30, HIT F 12

**Assistants:** Reimar Hecht, Caterina Specchia

Friday 8:45-9:30, HIT F 11.1

Friday 14:45-15:30, HIT J 52

**Please note:**

Lecture on 16 & 30 September in HPT C 103

Lecture on 23 September in HPL D 32

### Description

Group Theory for Physicists

#### Content

- Two-Dimensional Rotations
- Three-Dimensional Symmetries
- Finite Group Theory
- Point and Space Groups
- Structure of Simple Lie Algebras
- Finite-Dimensional Representations
- Representations of SU(N)
- Classification of Simple Lie Algebras
- Conformal Symmetry

#### Literature

- J. F. Cornwell, Group Theory in Physics, An Introduction, Academic Press (1997);
- S. Sternberg, Group theory and physics, Cambridge University Press (1994);
- H. F. Jones, Groups, Representations and Physics, CRC Press (1998);
- M. Hamermesh, Group Theory and Its Application to Physical Problems, Dover Publications (1989);
- M. Gaberdiel, Symmetries in Physics (HS13), lecture notes.

#### Credit Requirements

- 20 minute oral examination
- Recommended: 70% of homework problems worked out in reasonable quality
- Recommended: 1 problem solution presented at black board

### Materials

#### Lecture Notes

#### Problem Sets