Auslander-Reiten theory revisited

Details Auslander-Reiten theory revisited Auslander-Reiten theory revisited

2008-03-19

arxiv.org/abs/0803.2841v2

Trends in Representation Theory of Algebras and Related Topics, 349--398, European Mathematical Society, 2008

Mathematics

Representation Theory

47 pages, To appear in the Proceeding of the ICRA XII conference, Torun, August 2007

Scientific paper

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.

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