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.
Author: Ibrahim Assem, Andrzej Skowronski, Daniel Simson Publisher: Cambridge University Press Published: 02/13/2006 Pages: 472 Binding Type: Paperback Weight: 1.38lbs Size: 9.00h x 6.06w x 1.14d ISBN: 9780521586313