Good book on representation theory of groups

[beman]

Hi I am a physics graduate student. Recently I am learning representation theory of groups. I understand the basic concepts. But I need a good book with lots of examples in it and also exercise problems on representation theory so that I can brush up my knowledge.The text we follow is "Lie Groups and Lie Algebras for Physicists" by Das & Okubo.

 

[Fredrik]

I haven't done the exercises in it, but Brian Hall's book is a very nice read.

 

[micromass]

Do you want a math texts? Or one that has a lot of physics and a lot of physical motivation?
If you're ok with math only, then Hall* is the best text there is. It is very useful for physicists and every physicist doing representations should know what's in there. It is very good pedagogically too. But it doesn't do any physics.

*: https://www.amazon.com/dp/0387401229/?tag=pfamazon01-20 and http://arxiv.org/abs/math-ph/0005032