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

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

2008-10-27

arxiv.org/abs/0810.4757v1

Mathematics

Representation Theory

Scientific paper

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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