[Math] Reference request: Representation theory

reference-requestrepresentation-theory

Although I am aware there are other questions asking for references of representation theory they are either too specific or too advanced.

I seek a text which is geared towards the beginning graduate student and not a particularly strong one at that. It should be noted that I am learning representation theory for the first time.

I would ideally like the text to be

-Accessible and no "magic" (No Rudin style "it's trivial" when it's not). Also nothing too advanced.

-Small number of pages between exercises (small being 10-15 pages) instead of a massive chapters with a few exercises at the end. Also a book with a lot of exercises is desirable.

-Hints or solution to exercises (big ask, I know)

-Less prerequisites is better

A good example of a textbook I really like in another discipline (measure theory) is real analysis for graduate students by Richard Bass, which you can see here. (although it has no solutions or hints)

http://bass.math.uconn.edu/real.html

I know that a book that satisfies all of the above is probably non existent and I do not expect references which have all of the above qualities. Any references that satisfy even only one of the above are greatly appreciated.

Best Answer

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.

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