4 citations · 5 across the 5 of their papers we have counts for
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Some applications of extriangulated categories
Yann Palu
Extriangulated categories axiomatize extension-closed subcategories of triangulated categories and generalise both exact categories and triangulated categories. This survey article…
Hereditary extriangulated categories: Silting objects, mutation, negative extensions
Mikhail Gorsky, Hiroyuki Nakaoka, Yann Palu
In this article, we initiate the study of hereditary extriangulated categories. Many important categories arising in representation theory in connection with various theories of mu…
A generalization of perfectly clustering words and band bricks for certain gentle algebras
Benjamin Dequêne, Mélodie Lapointe, Yann Palu +3
We generalize the perfectly clustering words of Simpson and Puglisi and relate them to band bricks over certain gentle algebras. This allows us to prove a generalization of a conje…
From triangulated categories to module categories via homotopical algebra
Yann Palu
The category of modules over the endomorphism algebra of a rigid object in a Hom-finite triangulated category C has been given two different descriptions: On the one hand, as shown…
A Caldero-Chapoton map for infinite clusters
Peter Jorgensen, Yann Palu
We construct a Caldero-Chapoton map on a triangulated category with a cluster tilting subcategory which may have infinitely many indecomposable objects. The map is not necessarily…