Mapping cones in the bounded derived category of a gentle algebra

İlke Çanakçı; David Pauksztello; Sibylle Schroll

doi:10.1016/j.jalgebra.2019.04.005

Mapping cones in the bounded derived category of a gentle algebra

İlke Çanakçı, David Pauksztello, Sibylle Schroll^*

^*Corresponding author for this work

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

In this article we describe the triangulated structure of the bounded derived category of a gentle algebra by describing the triangles induced by the morphisms between indecomposable objects in a basis of their Hom-space.

Original language	English
Pages (from-to)	163-194
Number of pages	32
Journal	Journal of Algebra
Volume	530
DOIs	https://doi.org/10.1016/j.jalgebra.2019.04.005
Publication status	Published - 15 Jul 2019
Externally published	Yes

Funding

This work was supported through EPSRC grants EP/K026364/1, EP/K022490/1, EP/N005457/1 and EP/P016294/1.

Funders	Funder number
Engineering and Physical Sciences Research Council	EP/N005457/1, EP/P016294/1, EP/K026364/1, EP/K022490/1

Keywords

Bounded derived category
Gentle algebra
Homotopy string and band
Mapping cone
String combinatorics

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10.1016/j.jalgebra.2019.04.005

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title = "Mapping cones in the bounded derived category of a gentle algebra",

abstract = "In this article we describe the triangulated structure of the bounded derived category of a gentle algebra by describing the triangles induced by the morphisms between indecomposable objects in a basis of their Hom-space.",

keywords = "Bounded derived category, Gentle algebra, Homotopy string and band, Mapping cone, String combinatorics",

author = "İlke {\c C}anak{\c c}ı and David Pauksztello and Sibylle Schroll",

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AU - Pauksztello, David

AU - Schroll, Sibylle

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KW - Homotopy string and band

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KW - String combinatorics

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Mapping cones in the bounded derived category of a gentle algebra

Abstract

Funding

Keywords

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