Elements of the Representation Theory of Associ. Assem Hardcover<|

Elements of the Representation Theory of Associative Algebras: Volume 1Techniques of Representation Theory\nAuthor(s): Ibrahim Assem, Andrzej Skowronski, Daniel Simson\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521584234, 978-0521584234\nSynopsis\nThis 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 fo.