Quiver representations in abelian categories

2018/11/30 by Mozgovoy, Sergey
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1811.12935

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.

Related

• HOMOLOGICAL ALGEBRA OF TWISTED QUIVER BUNDLES
• n-representations of Quivers
• Abelian model structures on categories of quiver representations
• Quiver representations in toric geometry
• Direct Limit closure of induced Quiver Representations