Reference request: Representation theory

I have been working my way through Gordon James and Martin Liebeck's Representation and Characters of Groups which offers a good intro to representation theory, and a review of groups. It is accessible and plainly written with lots of examples and straight forward exercises.


Blake is probably right: Gordon James and Martin Liebeck's Representation and Characters of Groups is one of the first books you want to work out. Even if it has a kind of awkward notation on composition of functions, it is very readable and full of exercises.

Anyway as for a first approach I would suggest you chapter ten of Artin's Book, Algebra.If I remember correctly the chapter it should be titled "Group Representation" and it states all the basic notions in the simplest possible way. Read carefully that chapter, work out the exercises and then you'll have what you need to pass to all other books.


These notes by Pavel Etingof et. al. cover a very broad range of material, and are not too difficult. They seem to be used frequently in reading courses etc., and are much more suited for self-study than, say, Fulton-Harris.

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Representation Theory

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