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arXiv · 0810.4757

Almost $\cal D$-split sequences and derived equivalences

Wei Hu·Changchang Xi
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Abstract

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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Wei Hu, Changchang Xi. 2008-10-27. Almost $\cal D$-split sequences and derived equivalences. https://arxiv.org/abs/0810.4757

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