Almost cal D-split sequences and derived equivalences
classification
🧮 math.RT
keywords
sequencesalmostauslander-reitenderivedequivalencessplitbb-tiltingconnection
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In this paper, we introduce almost $\cal D$-split sequences and establish an elementary but somewhat surprising connection between derived equivalences and Auslander-Reiten sequences via BB-tilting modules. In particular, we obtain derived equivalences from Auslander-Reiten sequences (or $n$-almost split sequences), and Auslander-Reiten triangles.
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