This is the website for the lecture "Group Theory" in the summer term 2010 by S. Förste and C. Lüdeling. You can find some administrative information here, as well as the problem sheets. Lecture notes will be provided chapter by chapter, and somewhat delayed with respect to the lecture as they are still in the process of being written.

Lectures take place on Wednesday 14 – 16 and Friday 9 – 10 in Hörsaal 1.

The exam was written on Tuesday, July 27. The resit was written be offered on Monday, September 27. You should have rceived an email with your result, if not, contact me. You can review your exam and the correction on Wednesday, September 29, 10 to 11 am in the AVZ first floor library. If you want to review your exam but absolutely cannot make it, send me an email.

- Basics of Groups
- Basics of Representations
- Finite Groups
- Compact Lie Groups
- Lie Algebras

`michael (at) th.physik.uni-bonn.de`

).There will be
three tutorial groups:
Monday 10 – 12 | Raum 5 AVZ | Thomas Wotschke | `wotschke (at) th.physik.uni-bonn.de` |
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Tuesday 10 – 12 | Raum 5 AVZ | Daniel Lopes |
`dlopes (at) th.physik.uni-bonn.de` |
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Wednesday 10 – 12 | Raum 116 AVZ | Marco Rauch | `rauch (at) th.physik.uni-bonn.de` |

- H. Georgi, ``Lie Algebras In Particle Physics. From Isospin To Unified Theories''

A classic for Lie algebras. There is a new edition from 1999 which contains a nice chapter on discrete groups as well. - M. Hamermesh, ``Group Theory and Its Application to Physical Problems''

Another classic, in particular for finite groups and quantum mechanical applications. - H. Weyl,``Quantum mechanics and group theory''

Weyl is one of the fathers of the use of group theory in quantum mechanics. This book is rather old (1927), but still nicely readable. - R. N. Cahn, ``Semisimple Lie Algebras And Their Representations''

A short treatise on Lie algebras, available online - H. F. Jones, ``Groups, representations and physics''

A short and relatively simple book - R. Gilmore, ``Lie Groups, Lie Algebras, and Some of Their Applications''

More mathematically oriented, contains some proofs not presented in the lecture - W. Fulton and R Harris, ``Representation Theory: A First Course''

Relatively mathematical, but still quite accessible - J. Fuchs and C. Schweigert, ``Symmetries, Lie Algebras And Representations:
A Graduate Course For Physicists''

Rather advanced and formal treatment, for the mathematically interested - R. Slansky, ``Group Theory For Unified Model Building''

Invaluable because of its huge appendix of tables for Lie groups (weights, representations, tensor products, branching rules) - M. Nakahara, ``Geometry, topology and physics''

Covers differential geometry aspects of Lie groups. Generally recommended for every high-energy theorist

Christoph Lüdeling Last modified: Thu Aug 12 10:30:30 CEST 2010