Hidden Bibliographic Details
Other authors / contributors: | Simson, Daniel.
Skowroński, Andrzej.
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ISBN: | 9780511345456 0511345453 0511614306 9780511614309
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Notes: | Includes bibliographical references and index. Description based upon online resource; title from PDF title page (viewed May 5, 2020).
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Summary: | 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.
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Other form: | Print version: Assem, Ibrahim. Elements of the representation theory of associative algebras. Volume 1, Techniques of representation theory. Cambridge ; New York : Cambridge University Press, ©2006 052158423X 9780521584234
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