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math.RT2021
Extensions in Jacobian algebras via punctured skein relations
Salomon Dominguez, Ana Garcia Elsener
Given a Jacobian algebra arising from the punctured disk, we show that all non-split extensions can be found using the tagged arcs and skein relations previously developed in clust…
math.RT2017★ 2 cited
Arc representations
Salomón Domínguez
This paper was inspired by four articles: surface cluster algebras studied by Fomin-Shapiro-Thurston \cite{fst}, the mutation theory of quivers with potentials initiated by Derksen…
math.RT2012
A Caldero-Chapoton formula for generalized Cluster Categories
Salomón Dominguez, Christof Geiss
The Caldero-Chapoton formula relates for hereditary algebras of Dynkin type the cluster characters of the end terms of an Auslander-Reiten sequence with the cluster character of th…