The module description from the syllabus is available
here.
Time and Place for the Lectures
Tuesday 14:15 - 16:00, Seminar Room 1, BCTP & Thursday 13:15 - 14:00, Lecture Hall 1, PI.
Prerequesites:
Theoretical Physics III, Basic Lectures in Mathematics
Literature
- Link to the lecture notes by Dr. Christoph Luedeling
- 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 here
- 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.
- A. Zee, ``Group Theory in a Nutshell for Physicists''.
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