Periodic String Complexes over String Algebras
Representation Theory
2020-06-26 v1
Abstract
In this paper we develop combinatorial techniques for the case of string algebras with the aim to give a characterization of string complexes with infinite minimal projective resolution. These complexes will be called \textit{periodic string complexes}. As a consequence of this characterization, we give two important applications. The first one, is a sufficient condition for a string algebra to have infinite global dimension. In the second one, we exhibit a class of indecomposable objects in the derived category for a special case of string algebras. Every construction, concept and consequence in this paper is followed by some illustrative examples.
Cite
@article{arxiv.2006.14386,
title = {Periodic String Complexes over String Algebras},
author = {Andrés Franco and Hernán Giraldo and Pedro Rizzo},
journal= {arXiv preprint arXiv:2006.14386},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1910.04012