Elements of the Representation Theory of Associative Algebras : Techniques of Representation Theory
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Overview
This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.
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Details
- ISBN-13: 9780521586313
- ISBN-10: 0521586313
- Publisher: Cambridge University Press
- Publish Date: February 2006
- Dimensions: 9 x 6.06 x 1.14 inches
- Shipping Weight: 1.38 pounds
- Page Count: 472
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