Auslander correspondence

Details Auslander correspondence Auslander correspondence

2004-11-29

arxiv.org/abs/math/0411631v2

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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