Universal derived equivalences of posets of tilting modules

Details Universal derived equivalences of posets of tilting modules Universal derived equivalences of posets of tilting modules

2007-08-09

arxiv.org/abs/0708.1287v1

Mathematics

Representation Theory

11 pages

Scientific paper

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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