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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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Book Details

ISBN: 9780521584234
ISBN-10: 052158423X
Format: Hardback
(228mm x 152mm x 30mm)
Pages: 472
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Feb-2006
Country of Publication: United Kingdom

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Author Biography - Ibrahim Assem

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