Auslander correspondence
Representation Theory
2010-11-01 v2 Commutative Algebra
Abstract
We study Auslander correspondence from the viewpoint of higher dimensional Auslander-Reiten theory on maximal orthogonal subcategories. We give homological characterizations of Auslander algebras, especially an answer to a question of M. Artin. They are also closely related to Auslander's representation dimension of artin algebras and Van den Bergh's non-commutative crepant resolutions of Gorenstein singularities.
Keywords
Cite
@article{arxiv.math/0411631,
title = {Auslander correspondence},
author = {Osamu Iyama},
journal= {arXiv preprint arXiv:math/0411631},
year = {2010}
}
Comments
29 pages. Final Version. To appear in Adv. Math