Differential modules over quadratic monomial algebras
Representation Theory
2016-02-24 v2 Category Theory
Rings and Algebras
Abstract
We compare the so-called clock condition to the gradability of certain differential modules over quadratic monomial algebras. For a stably hereditary algebra or a gentle one-cycle algebra, these considerations show that the orbit category of its bounded derived category with respect to a positive power of the shift functor is triangulated if and only if the algebra is piecewise hereditary.
Cite
@article{arxiv.1602.06795,
title = {Differential modules over quadratic monomial algebras},
author = {Torkil Stai},
journal= {arXiv preprint arXiv:1602.06795},
year = {2016}
}
Comments
8 pages