Jim Caprioli at The Finland Station

The basic problem of Representation Theory is the classification of all representations of a given group G, up to isomorphism. But what about today? Schur's Lemma ( and here 1 , and here 2 ). Lecture 1 in the book consists of 9 pages. The same topics can be found in David Towers 1 , he takes 40+ pages. I have been reading ahead a bit. So far it has been ploughing through a thick layer of definitions but cool, interesting exercises are close by: the construction of Character Tables of groups. That's lecture 2 stuff in the book. It wouldn't be the first time that I move ahead to a next chapter without a full understanding of what has been said sofar. Going through a book in several rounds has it's advantages. For now I have to remember that a representation is a direct sum of irreducible representations. I really should do exercises for a while. Sofar.