Elements of the Representation Theory of Associative Algebras: Techniques of Representation Theory
(Part of the London Mathematical Society Student Texts Series)
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Book Overview
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.
Format:Paperback
Language:English
ISBN:0521586313
ISBN13:9780521586313
Release Date:February 2006
Publisher:Cambridge University Press
Length:472 Pages
Weight:1.38 lbs.
Dimensions:1.1" x 6.1" x 9.0"
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