I teach a course on (Lie) group theory for physics at the level of senior undergraduates. I follow basically the book by Georgi "Lie algebras in particle physics". So I teach them the groups SU(2), SU(3), and other related subjects. However there are too little exercises in this book, and I couldn't find enough exercises on the net. Do you know where I can find exercises on (Lie) group theory FOR physicists?
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$\begingroup$ (I edited the question in light of the fact that what most physicists call "group theory" is mainly known by mathematicians as "Lie group theory" - Since the book you're using is about Lie algebras, this seems to suggest it's the right interpretation) $\endgroup$– QfwfqJun 2, 2019 at 8:52
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$\begingroup$ @Qfwfq I guess, in that case possibly ([tag:lie-groups) - and maybe also (lie-algebras) - might be worth adding. $\endgroup$– Martin SleziakJun 2, 2019 at 9:03
4 Answers
I can recommend H.F. Jones, ``Groups, representations and physics'', Institute of Physics Publishing, 1990: it has a good selection of exercises at the end of each chapter.
Wu-Ki Tung's Group Theory in Physics has problems at the end of each chapter. Michael Aizazis published the complete solutions to these problems.
I think that the H.F. Jones book "Group Theory in physics" can be another good reference.
Apart from what other people mentioned.
Probably the best physics oriented problem coll in group theory is given by ROBERT GILL MORE-GROUP THEORY also I will strongly advocate for A. ZEE-GROUP TH IN A NUTSHELL FOR PHYSICIST each chapter has its own problem.