Mathematics – Representation Theory
Scientific paper
2004-11-29
Adv. Math. 210 (2007), no. 1, 51--82
Mathematics
Representation Theory
29 pages. Final Version. To appear in Adv. Math
Scientific paper
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.
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