TITLE: Problem based representation theory book
QUESTION [5 upvotes]: I am trying to find books similar in the spirit of Ram Murty's Problems in Analytic Number theory or Murty Esmonde's Problems in Algebraic number theory in the field of Representation Theory (of groups, algebras, Lie algebras, possibly even goes in the direction of quivers). I want a book which doesn't provide details but directs me in the right direction via lots of exercises. One other book that kind of fits this category maybe Farb and Dennis's Noncommutative Algebra. But it is not purely focused on representation theory although some of the topics are. Any other suggestions?

REPLY [3 votes]: There is also the book by William Fulton and Joe Harris : Representation Theory (Springer, corrected edition,551 pages). It contains many exercises, with hints, answers, and references (pp. 516-535).