Text Books on Group Theory in Physics
The main books to be used are
H. F. Jones, Groups, Representations and Physics, CRC Press, 1998
This is the book most used
for the first quarter of the course. There is an older version
H. F. Jones, Groups, Representations and Physics, Adam Hilger, New York,
which will be just as good for what we cover from it.
You should also be able to find the same material in
many other books, such as Hamermesh, Tinkham, and Joshi. Jones is
also on reserve in the library.
Howard Georgi, “Lie Algebras in Particle Physics:
from Isospin To Unified Theories”, Second Edition
(Frontiers in Physics, 1999), Westview Press
The second part of this course will use this book.
It is strong on the classification of the semisimple lie algebras and
representations of the classical groups.
There is an older version from Addison-Wesley, 1982, but
there are some significant changes in notation, so the newer one is preferred.