Ladders of compactly generated triangulated categories and preprojective algebras
Representation Theory
2017-11-20 v3
Abstract
In this paper we characterize when a recollement of compactly generated triangulated categories admits a ladder of some height going either upwards or downwards. As an application, we show that the derived category of the preprojective algebra of Dynkin type admits a periodic infinite ladder, where the one outer term in the recollement is the derived category of a differential graded algebra.
Keywords
Cite
@article{arxiv.1611.09973,
title = {Ladders of compactly generated triangulated categories and preprojective algebras},
author = {Nan Gao and Chrysostomos Psaroudakis},
journal= {arXiv preprint arXiv:1611.09973},
year = {2017}
}
Comments
v1: This articles replaces arXiv:1605.08114, new section is added, title has changed, 19 pages. v2: few typos fixed, comments are welcome. v3: revised version, title has changed, to appear in Applied Categorical Structures