Universal derived equivalences of posets of tilting modules

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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

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Representation Theory, 16G20, 16E30, 06A11, 18E30

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http://salesiana.dossiersoluciones.com/handle/123456789/135820

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.1287
 http://arxiv.org/abs/0708.1287

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arXiv