English

Hereditary Categories with Serre Duality which are generated by Preprojectives

Category Theory 2010-04-13 v1 Representation Theory

Abstract

We show that every k-linear abelian Ext-finite hereditary category with Serre duality which is generated by preprojective objects is derived equivalent to the category of representations of a strongly locally finite thread quiver.

Keywords

Cite

@article{arxiv.1004.1653,
  title  = {Hereditary Categories with Serre Duality which are generated by Preprojectives},
  author = {Carl Fredrik Berg and Adam-Christiaan van Roosmalen},
  journal= {arXiv preprint arXiv:1004.1653},
  year   = {2010}
}

Comments

32 pages, 12 pictures

R2 v1 2026-06-21T15:08:42.329Z