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.
| ISBN: | 9780521586313 |
| Publication date: | 13th February 2006 |
| Author: | Ibrahim Université de Sherbrooke, Canada Assem, Andrzej Nicholas Copernicus University of Toru, Poland Skowronski, Simson |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 472 pages |
| Series: | London Mathematical Society Student Texts |
| Genres: |
Groups and group theory |