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Title: Mapping cones in the bounded derived category of a gentle algebra
Authors: Canakci, Ilke
Pauksztello, David
Schroll, Sibylle
First Published: 23-Jan-2017
Citation: arXiv:1609.09688 [math.RT]
Abstract: Gentle algebras are a class of algebras that are derived tame. They therefore provide a concrete setting to study the structure of the (bounded) derived category in detail. In this article we explicitly describe the triangulated structure of the bounded derived category of a gentle algebra by describing its triangles. In particular, we develop a graphical calculus which gives the indecomposable summands of the mapping cones of morphisms in a canonical basis of the Hom-space between any two indecomposable complexes.
Version: Pre-print
Type: Preprint
Rights: Copyright © The Authors, 2017.
Description: 34 pages, many figures
Appears in Collections:Published Articles, Dept. of Mathematics

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