Elements of the representation theory of associative algebras. Volume 1, Techniques of representation theory /

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Bibliographic Details
Author / Creator:Assem, Ibrahim., author.
Imprint:Cambridge ; New York : Cambridge University Press, ©2006.
Description:1 online resource (ix, 458 pages)
Language:English
Series:London Mathematical Society student texts ; 65
London Mathematical Society student texts ; 65.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11813225
Hidden Bibliographic Details
Other authors / contributors:Simson, Daniel.
Skowroński, Andrzej.
ISBN:9780511345456
0511345453
0511614306
9780511614309
Notes:Includes bibliographical references and index.
Description based upon online resource; title from PDF title page (viewed May 5, 2020).
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.
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

MARC

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245 1 0 |a Elements of the representation theory of associative algebras.  |n Volume 1,  |p Techniques of representation theory /  |c Ibrahim Assem, Daniel Simson, Andrzej Skowroński. 
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490 1 |a London Mathematical Society student texts ;  |v 65 
504 |a Includes bibliographical references and index. 
588 0 |a Description based upon online resource; title from PDF title page (viewed May 5, 2020). 
520 |a 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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