Elements of the Representation Theory of Associative Algebras, Volume 1: Techniques of Representation Theory. London Mathematical Society Student Texts, Volume 65 |
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Author:
| Assem, Ibrahim Simson, Daniel Skowronski, Andrzej |
Editor:
| Bruce, J. W. |
Series title: | London Mathematical Society Student Texts |
ISBN: | 978-1-281-10868-5 |
Publication Date: | Jan 2010 |
Publisher: | Cambridge University Press
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Book Format: | Ebook |
List Price: | USD $234.00 |
Book Description:
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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...
More DescriptionThis 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.