» » Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory



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  • Author: Alexandr
  • Date: 2-12-2013, 02:58
2-12-2013, 02:58

Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory

Category: E-Books

Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory

Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory
English | 472 pages | ISBN-10: 0521586313 | PDF | 4.33 Mb


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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