PreprintCC BY 4.0arXiv
On silting theory for complete path algebras
Abstract
Let Q be a finite quiver and let Λ be the complete path algebra of Q with respect to the arrow ideal. We study the mutation of silting objects in the bounded homotopy category of projective Λ-modules and characterise in which cases the mutation theories of silting complexes and 2-term silting complexes of Λ are determined by those of a finite dimensional quotient Λ/I. This characterisation is closely related to a characterisation of 2-term silting finite quotient algebras.
Related
- Superdecomposable Complete Path Algebras
- Hammock coordinates for silting subcategories of derived-discrete algebras
- On the existence of divisible non-injective modules over Leavitt path algebras
- Growth functions of algebras and an application to Leavitt path algebras
- Cohen-Macaulay truncated path and Nakayama algebras
BibTeX
@misc{kaipel2026silting,
title = {{On silting theory for complete path algebras}},
author = {Maximilian Kaipel and Daniel Labardini-Fragoso and Håvard Utne Terland},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03890},
eprint = {2611.03890},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03890},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On silting theory for complete path algebras
AU - Maximilian Kaipel
AU - Daniel Labardini-Fragoso
AU - Håvard Utne Terland
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03890
UR - https://arxiv.org/abs/2611.03890
AB - Let Q be a finite quiver and let Λ be the complete path algebra of Q with respect to the arrow ideal. We study the mutation of silting objects in the bounded homotopy category of projective Λ-modules and characterise in which cases the mutation theories of silting complexes and 2-term silting complexes of Λ are determined by those of a finite dimensional quotient Λ/I. This characterisation is closely related to a characterisation of 2-term silting finite quotient algebras.
ER -