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math.RT2007★ 15 cited
Universal derived equivalences of posets of cluster tilting objects
Sefi Ladkani
We 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, wh…
math.RT2007★ 13 cited
Universal derived equivalences of posets of tilting modules
Sefi Ladkani
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 c…
math.RT2007★ 13 cited
Universal derived equivalences of posets
Sefi Ladkani
By using only combinatorial data on two posets X and Y, we construct a set of so-called formulas. A formula produces simultaneously, for any abelian category A, a functor between t…