Universal derived equivalences of posets of tilting modules
Representation Theory
2007-08-10 v1
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.
Keywords
Cite
@article{arxiv.0708.1287,
title = {Universal derived equivalences of posets of tilting modules},
author = {Sefi Ladkani},
journal= {arXiv preprint arXiv:0708.1287},
year = {2007}
}
Comments
11 pages