Elements of the representation theory of associative algebras
Ibrahim Assem, Andrzej Skowronski, Daniel Simson
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.
Thể loại:
Tập:
Volume 1
Năm:
2006
Nhà xuát bản:
Cambridge University Press
Ngôn ngữ:
english
Trang:
469
ISBN 10:
052158423X
ISBN 13:
9780521882187
Loạt:
London Mathematical Society student texts 65, 71-72
File:
PDF, 3.38 MB
IPFS:
,
english, 2006