Auslander correspondence
classification
🧮 math.RT
math.AC
keywords
auslanderalgebrasartincorrespondenceanswerauslander-reitenberghcharacterizations
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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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