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arXiv · 1611.09973

Ladders of compactly generated triangulated categories and preprojective algebras

Nan Gao·Chrysostomos Psaroudakis
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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 $\mathbb{A}_n$ admits a periodic infinite ladder, where the one outer term in the recollement is the derived category of a differential graded algebra.

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BibTeXRIS

Nan Gao, Chrysostomos Psaroudakis. 2017-11-17. Ladders of compactly generated triangulated categories and preprojective algebras. https://arxiv.org/abs/1611.09973

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