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Auslander correspondence for higher stable dg categories and cluster Morita theory

Tomonaga, Ryu
arXiv (OAI Expanded) · Papers
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category-theoryrepresentation-theoryrings-and-algebras
The notion of $d$-stable dg categories axiomatizes $d$-cluster tilting subcategories of stable dg categories. We establish an Auslander correspondence for $d$-stable dg categories: we characterize the $d$-stability of an additive connective dg category in terms of coherence, weak global dimension, a
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