A category of wide subcategories
Representation Theory
2020-12-21 v1 Rings and Algebras
Abstract
An algebra is said to be \emph{-tilting finite} provided it has only a finite number of -rigid objects up to isomorphism. We associate a category to each such algebra. The objects are the wide subcategories of its category of finite dimensional modules, and the morphisms are indexed by support -tilting pairs.
Keywords
Cite
@article{arxiv.1802.03812,
title = {A category of wide subcategories},
author = {Aslak Bakke Buan and Bethany Marsh},
journal= {arXiv preprint arXiv:1802.03812},
year = {2020}
}
Comments
43 pages