ENGLISH

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

By Ibrahim Assem , Andrzej Skowronski , Daniel Simson

Book information

Publisher
Cambridge University Press
Year
2006
ISBN
0521586313, 9780521584234, 9780511345456, 0511345453, 052158423X, 9780521586313
LCC
QA251.5 .A767 2005
Language
english
Format
PDF
Filesize
4 MB (4565673 bytes)
Series
London Mathematical Society Student Texts
Pages
469\469
Time added
2010-10-13 10:14:08

Description

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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