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arxiv: 0708.3755 · v2 · submitted 2007-08-28 · 🧮 math.RT

On derived equivalence classification of gentle two-cycle algebras

classification 🧮 math.RT
keywords algebrasclassificationderivedequivalencegentletwo-cyclecaseclassify
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We classify, up to derived (equivalently, tilting-cotilting) equivalence all nondegenerate gentle two-cycle algebras. We also give a partial classification and formulate a conjecture in the degenerate case.

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