Title: Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory (London Mathematical Society Student Texts, Series Number 65)
Publisher: Cambridge University Press
Publication Date: 2006
Language: English
ISBN 10: 052158423X
ISBN 13: 9780521584234
Binding: Hardcover
Condition: New

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Synopsis

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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