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Mathematics > Representation Theory
Title: Iyama-Solberg correspondence for exact dg categories
(Submitted on 4 Jan 2024 (v1), last revised 9 Feb 2024 (this version, v2))
Abstract: We generalize the notions of $d$-cluster tilting pair and $d$-Auslander exact dg category to $d$-precluster tilting triple and $d$-minimal Auslander--Gorenstein exact dg category. We give a bijection between equivalence classes of $d$-precluster tilting triples and equivalence classes of $d$-minimal Auslander--Gorenstein exact dg categories. Our bijection generalizes Iyama--Solberg correspondence for module categories.
Submission history
From: Xiaofa Chen [view email][v1] Thu, 4 Jan 2024 05:02:45 GMT (26kb,D)
[v2] Fri, 9 Feb 2024 09:18:52 GMT (30kb,D)
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