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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.
The outline of the lecture was as follows:
- Basics of Groups
- Basics of Representations
- Finite Groups
- Compact Lie Groups
- Lie Algebras
The lecture notes now include all chapters (up to
Chapter six, which deals with representations of Lie algebras). The notes will most likely
still contain errors — if you find some plase tell me!
Sheets are prepared by Michael Blaszczyk (
michael (at) th.physik.uni-bonn.de).There will be
three tutorial groups:
Problem sheets will be handed out and returned in the tutorials.
| Monday 10 – 12 || || Raum 5 AVZ || || Thomas
Wotschke || ||
wotschke (at) th.physik.uni-bonn.de
| Tuesday 10 – 12 || || Raum 5 AVZ || || Daniel
Lopes || ||
dlopes (at) th.physik.uni-bonn.de
| Wednesday 10 – 12
|| || Raum 116 AVZ ||
|| Marco Rauch || ||
rauch (at) th.physik.uni-bonn.de
There is a large number of books and lecture notes on group theory and its application in
physics. I present an arbitrary selection:
- 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
Last modified: Thu Aug 12 10:30:30 CEST 2010