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Auslander correspondence

Osamu Iyama
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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.

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Osamu Iyama. 2004-11-29. Auslander correspondence. https://arxiv.org/abs/math/0411631

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