Universal derived equivalences of posets of cluster tilting objects

Simple item page
dc.creatorLadkani, Sefi
dc.date2007-10-15
dc.date.accessioned2026-07-07T08:36:26Z
dc.date.available2026-07-07T08:36:26Z
dc.descriptionWe show that for two quivers without oriented cycles related by a BGP reflection, the posets of their cluster tilting objects are related by a simple combinatorial construction, which we call a flip-flop. We deduce that the posets of cluster tilting objects of derived equivalent path algebras of quivers without oriented cycles are universally derived equivalent. In particular, all Cambrian lattices corresponding to the various orientations of the same Dynkin diagram are universally derived equivalent.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0710.2860
dc.identifierhttp://arxiv.org/abs/0710.2860
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140061
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject16G20; 06A11; 18E30
dc.titleUniversal derived equivalences of posets of cluster tilting objects
dc.typetext

Files

Collections

arXiv