Some homological properties of ind-completions and highest weight categories
Representation Theory
2020-05-20 v2
Abstract
We demonstrate equivalence between two definitions of lower finite highest weight categories. We also show that, in the presence of a duality, a lower finite highest weight structure on a category is unique. Finally, we give a new proof for the fact that any abelian category is extension full in its ind-completion.
Cite
@article{arxiv.2003.12219,
title = {Some homological properties of ind-completions and highest weight categories},
author = {Kevin Coulembier},
journal= {arXiv preprint arXiv:2003.12219},
year = {2020}
}