# Quiver representations in Abelian categories, by Sergey
Mozgovoy

**Source**: https://www.maths.tcd.ie/report_series/abstracts/tcdm1819.html
**Parent**: https://www.maths.tcd.ie/research/papers/

**TCDMATH 18--19: Quiver representations in Abelian categories, by Sergey
Mozgovoy**

Abstract. We introduce the notion of (twisted) quiver
representations in abelian cate- gories and study the
category of such representations. We construct standard
resolutions and coresolutions of quiver representations and
study basic homological properties of the category of
representations. These results are applied in the case of
parabolic vector bundles and framed coherent sheaves.