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Science/Engineering Elements of the Representation Theory of Associative Algebras, Vol 1: Techniques of Representation Theory

Posted on 2010-03-15




Name:Science/Engineering Elements of the Representation Theory of Associative Algebras, Vol 1: Techniques of Representation Theory
ASIN/ISBN:0521586313
Language:English
File size:3.5 Mb
Publish Date: 2006-02-13
ISBN: 0521586313
Pages: 468 pages
File Type: PDF
File Size: 3,5 MB
Other Info: Cambridge University Press
   Science/Engineering Elements of the Representation Theory of Associative Algebras, Vol 1: Techniques of Representation Theory



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Ibrahim Assem, Andrzej Skowronski, Daniel Simson, "Elements of the Representation Theory of Associative Algebras, Vol 1: Techniques of Representation Theory"

This first part of a three-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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