Torsion pairs and quasi-abelian categories
Category Theory
2020-12-11 v4 Representation Theory
Abstract
We define torsion pairs for quasi-abelian categories and give several characterisations. We show that many of the torsion theoretic concepts translate from abelian categories to quasi-abelian categories. As an application, we generalise the recently defined algebraic Harder-Narasimhan filtrations to quasi-abelian categories.
Keywords
Cite
@article{arxiv.1907.10025,
title = {Torsion pairs and quasi-abelian categories},
author = {Aran Tattar},
journal= {arXiv preprint arXiv:1907.10025},
year = {2020}
}
Comments
v4: Inaccuracies and typos fixed. Appearing in `Algebras and Representation Theory'