ENGLISH

Elements of the representation theory of associative algebras

Book information

Publisher
Cambridge University Press
Year
2006
ISBN
052158423X, 9780521586313, 9780521584234, 9780511345456, 0521586313, 9780521836104, 9780521544207, 9780521882187
LCC
QA251.5 .A767 2005
Open Library ID
OL22724682M
Language
english
Format
PDF
Filesize
3 MB (3539865 bytes)
Series
London Mathematical Society student texts 65, 71-72
Volume
Volume 1
Pages
469\469
Topic
Mathematics Algebra
Library
kolxoz
Time added
2009-07-20 03:45:11

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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