Auslander-Reiten theory revisited
Representation Theory
2010-11-01 v2 Commutative Algebra
Abstract
We recall several results in Auslander-Reiten theory for finite-dimensional algebras over fields and orders over complete local rings. Then we introduce -cluster tilting subcategories and higher theory of almost split sequences and Auslander algebras there. Several examples are explained.
Keywords
Cite
@article{arxiv.0803.2841,
title = {Auslander-Reiten theory revisited},
author = {Osamu Iyama},
journal= {arXiv preprint arXiv:0803.2841},
year = {2010}
}
Comments
47 pages, To appear in the Proceeding of the ICRA XII conference, Torun, August 2007