Silting-discrete graded path algebras
Representation Theory
2026-05-25 v1
Abstract
We classify connected finite acyclic graded quivers for which the graded path algebra , regarded as a formal dg algebra, is silting-discrete. We prove that is silting-discrete if and only if it is derived-discrete, and that both conditions are equivalent to the underlying graph of being of type ADE, or of type with unequal clockwise and counter-clockwise total degrees. The key ingredient is an explicit construction of an infinite pre-simple-minded collection in in the non-discrete case.
Cite
@article{arxiv.2605.23704,
title = {Silting-discrete graded path algebras},
author = {Riku Fushimi},
journal= {arXiv preprint arXiv:2605.23704},
year = {2026}
}
Comments
10 pages