Universal derived equivalences of posets of tilting modules

Sefi Ladkani

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arXiv · 0708.1287

Universal derived equivalences of posets of tilting modules

Sefi Ladkani

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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.

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BibTeX RIS

Sefi Ladkani. 2007-08-09. Universal derived equivalences of posets of tilting modules. https://arxiv.org/abs/0708.1287

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