Quiver representations in abelian categories

JOURNAL OF ALGEBRA

卷:541

Article

Mozgovoy, Sergey^1,2 

[1] Trinity Coll Dublin, Sch Math, Dublin, Ireland

[2] Hamilton Math Inst, Dublin, Ireland

关键词: Quiver representations;    Abelian categories;   

DOI  :  10.1016/j.jalgebra.2019.08.027

来源: Elsevier

【 摘 要 】

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. (C) 2019 Published by Elsevier Inc.

【 授权许可】

Free