Stability Conditions and Maximal Green Sequences in Abelian Categories
Representation Theory
2019-08-15 v2 Rings and Algebras
Abstract
In this paper we study the stability functions on abelian categories introduced by Rudakov in \cite{Ru} and their relation with torsion classes and maximal green sequences. Moreover we introduce a new kind of stability function which is compatible with the wall and chamber of the category.
Keywords
Cite
@article{arxiv.1805.04382,
title = {Stability Conditions and Maximal Green Sequences in Abelian Categories},
author = {Thomas Brüstle and David Smith and Hipolito Treffinger},
journal= {arXiv preprint arXiv:1805.04382},
year = {2019}
}
Comments
Minor typos corrected. This paper is a revised version of one part of a preprint arXiv:1705.08227