Elements Of The Representation Theory Of Associative Algebras Techniques Of Representation Theory
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Elements of the Representation Theory of Associative Algebras: Techniques of representation theory
Author: Ibrahim Assem
language: en
Publisher: Cambridge University Press
Release Date: 2006
Publisher Description (unedited publisher data) Counter 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.
Elements of the Representation Theory of Associative Algebras: Volume 1
Author: Ibrahim Assem
language: en
Publisher: Cambridge University Press
Release Date: 2006-02-13
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.
Elements of the Representation Theory of Associative Algebras
Giving a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field, this title provides an introduction to the representation theory of the representation-infinite hereditary and concealed algebras of Euclidean type.