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Elements of the Representation Theory of Associative Algebras: Volume 1 Hardback: Techniques of Representation Theory: V. 1 (London Mathematical Society Student Texts) (in English)
Daniel Simson
(Author)
·
Ibrahim Assem
(Author)
·
Andrzej Skowronski
(Author)
·
Cambridge University Press
· Hardcover
Elements of the Representation Theory of Associative Algebras: Volume 1 Hardback: Techniques of Representation Theory: V. 1 (London Mathematical Society Student Texts) (in English) - Assem, Ibrahim ; Skowronski, Andrzej ; Simson, Daniel
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Synopsis "Elements of the Representation Theory of Associative Algebras: Volume 1 Hardback: Techniques of Representation Theory: V. 1 (London Mathematical Society Student Texts) (in English)"
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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The book is written in English.
The binding of this edition is Hardcover.
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