A pre-projective part of tilting quivers of certain path algebras
Rings and Algebras
2013-05-15 v2 Representation Theory
Abstract
D.Happel and L.Unger defined a partial order on the set of basic tilting modules. We study the poset of basic pre-projective tilting modules over path algebra of infinite type. First we will give a criterion for Ext-vanishing for pre-projective modules. And by using this we will give a combinatorial characterization of the poset of basic pre-projective tilting modules. Finally we will see a structure of a pre-projective part of tilting quivers.
Keywords
Cite
@article{arxiv.1212.0359,
title = {A pre-projective part of tilting quivers of certain path algebras},
author = {Ryoichi Kase},
journal= {arXiv preprint arXiv:1212.0359},
year = {2013}
}
Comments
15 pages