Quiver representations in abelian categories
Representation Theory
2018-12-03 v1 Algebraic Geometry
Abstract
We introduce the notion of (twisted) quiver representations in abelian categories 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.
Cite
@article{arxiv.1811.12935,
title = {Quiver representations in abelian categories},
author = {Sergey Mozgovoy},
journal= {arXiv preprint arXiv:1811.12935},
year = {2018}
}
Comments
11 pages