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| arXiv:0803.2841 |
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Title: Auslander-Reiten theory revisited
Authors: Osamu Iyama
Categories: math.RT Representation Theory (math.AC Commutative Algebra)
Comments: 47 pages, To appear in the Proceeding of the ICRA XII conference, Torun, August 2007
MSC: 16G70 (Primary); 16E30, 16G30 (Secondary)
Abstract: We recall several results in Auslander-Reiten theory for finite-dimensional
algebras over fields and orders over complete local rings. Then we introduce
$n$-cluster tilting subcategories and higher theory of almost split sequences
and Auslander algebras there. Several examples are explained.
Owner: Osamu Iyama
Version 1: Wed, 19 Mar 2008 16:43:24 GMT
Version 2: Thu, 3 Apr 2008 14:55:40 GMT
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