Group Theory (T) - physics751
| Course | Group Theory (T) |
|---|---|
| Course No. | physics751 |
| Category | Type | Language | Teaching hours | CP | Semester |
|---|---|---|---|---|---|
| Elective | Lecture with exercises | English | 3+2 | 7 | WT |
Preparation: physik421 (Quantum Mechanics)
Form of Testing and Examination: Requirements for the examination (written): successful work with the
Length of Course: 1 semester
Aims of the Course: Acquisition of mathematical foundations of group theory with regard to applications in theoretical physics
Contents of the Course:
Mathematical foundations:
Finite groups, Lie groups and Lie algebras, highest weight representations, classification of simple Lie algebras, Dynkin diagrams, tensor products and Young tableaux, spinors, Clifford algebras, Lie super algebras
Recommended Literature:
B. G. Wybourne; Classical Groups for Physicists (J. Wiley & Sons 1974)
H. Georgi; Lie Algebras in Particle Physics (Perseus Books 2. Aufl. 1999)
W. Fulton, J. Harris; Representation Theory (Springer, New York 1991)