Universal derived equivalences of posets of tilting modules

Abstract

We show that for two quivers without oriented cycles related by a BGP reflection, the posets of their tilting modules are related by a simple combinatorial construction, which we call flip-flop. We deduce that the posets of tilting modules of derived equivalent path algebras of quivers without oriented cycles are universally derived equivalent.

11 pages

References in corpus (1)

• Universal derived equivalences of posets

Cited by in corpus (6)

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• The number of arrows in the quiver of tilting modules over a path algebra of type $A$ and $D$
• Higher symmetries in abstract stable homotopy theories