Triangulated categories with a compact silting object, Brown-Comenetz duality and Brown representability theorems
Representation Theory
2026-02-17 v1 Rings and Algebras
Abstract
In this paper, we establish a dual framework for Neeman's results concerning triangulated categories with compact silting objects by employing Brown--Comenetz duality. This framework introduces an intrinsic non-compact subcategory, provides its characterization, and demonstrates representability theorems for both the low-bounded and bounded subcategories. Additionally, it elucidates how recollements are restricted to short exact sequences on the dual (non-compact) side. Several localization results and specific applications are also derived.
Cite
@article{arxiv.2602.14383,
title = {Triangulated categories with a compact silting object, Brown-Comenetz duality and Brown representability theorems},
author = {Xiaohu Chen and Yongliang Sun and Yaohua Zhang},
journal= {arXiv preprint arXiv:2602.14383},
year = {2026}
}
Comments
37 pages. Comments are welcome