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William Fulton, J. Harris "Representation theory - A first course"

This is an absolutely delightful introduction to the theory of Lie groups and their representations. The style is informal but informative, with some of the important proofs hidden in the appendex or even omitted (i.e. existance of the finite dimensional representations for all lie algebras). However, this is a fully rigorous text, and all the important theorems are stated, and most are proved. Mathematicians should suppliment this book with Humphries standard text on Lie algebras. However, this book provides motivation and intuitive insight that Humphries is missing. Additional enjoyment may be derived from the sampling of other unusual topics, such as Schur functors and applications to algebraic geometry. Of course, these can also be omitted as the reader desires. Read a lecture every few nights before bedtime, and soon Lie theory will seem beautiful and almost intuitive. (Amazon review).

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	Study Representation Theory Edwin Williams “Representation Theory" The MIT Press \| 2003-01-17 \| ISBN: 0262232251 \| 304 pages \| PDF \| 1,8 MB In this theoretical monograph, Edwin Williams demonstrates that when syntax is economical, it economizes on shape distortion ...
	Science/Engineering Elements of the Representation Theory of Associative Algebras,Vol. 3: Representation-infinite Tilted Algebras Daniel Simson, Andrzej Skowronski, "Elements of the Representation Theory of Associative Algebras,Vol. 3: Representation-infinite Tilted Algebras" Cambridge University Press \| 2007-11-12 \| ISBN: 0521708761 \| 464 pages \| PDF \| 3 MB The f ...
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