First meeting: Friday, April 22., 16:15-17:45
Discussion and distribution of topics.
Tentative List of Topics
- Representation theory of Lie(SU(2)).
- Representation theory of Lie(SU(3)) - first part
- Representation theory of Lie(SU(3)) - second part
- Fundamental respresentations of Lie(SU(3)) and their tensor products
- Phenomenology: Hadronic particle multipletts
- General representation theory of complex simple Lie-algebras; roots and weights
- Gauge theories
- Higgs mechanism
- Proof of the Campbell-Baker-Hausdorff formula
Stucture
The seminar-talks will be held in a block-curse on Thursday, June 9th
Contents and prerequisites
This seminar is meant to complement the lecture in various aspects, concerning representation theory of Lie-algebras and thir application to phenomenological as well as fundamental theoretical physics.
Textbooks and other texts
Here are the texts from which the talks can be prepared:
- Roman Sexl und Helmuth Urbantke: Relativity, Groups, Particles. Special Relativity and Relativistic Symmetry in Field and Particle Physics. Springer Verlag, Wien (2001).
- Walter Greiner: Quantenmechanik - Symmetrien. Verlag Harri Deutsch, 4. Auflage 2005.
- Wolfgang Hein: Struktur und Darstellungstheorie der klassischen Gruppen. Springer Verlag, Berlin 1990.
- Brian C. Hall: Lie Groups, Lie Algebras, and Representations. Springer Verlag, New York (2003).
