Torsion pairs and quasi-abelian categories
arXiv:1907.10025 · doi:10.1007/s10468-020-10004-y
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.
v4: Inaccuracies and typos fixed. Appearing in `Algebras and Representation Theory'