Elements of the Representation Theory of Associative Algebras by Andrzej Skowronski
Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory (London Mathematical Society Student Texts) by Andrzej Skowronski
Cambridge University Press | February 13, 2006 | English | ISBN: 0521586313 | 469 pages | PDF | 4 MB
Cambridge University Press | February 13, 2006 | English | ISBN: 0521586313 | 469 pages | PDF | 4 MB
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.