17 citations · 67 across the 17 of their papers we have counts for
5 papers · 1 filter
Friezes, Strings and Cluster Variables
Ibrahim Assem, Grégoire Dupont, Ralf Schiffler +1
To any walk in a quiver, we associate a Laurent polynomial. When the walk is the string of a string module over a 2-Calabi-Yau tilted algebra, we prove that this Laurent polynomial…
Generic Variables in Acyclic Cluster Algebras
Gregoire Dupont
Let be an acyclic quiver. We introduce the notion of generic variables for the coefficient-free acyclic cluster algebra . We prove that the set o…
A homological interpretation of the transverse quiver Grassmannians
Giovanni Cerulli Irelli, Gregoire Dupont, Francesco Esposito
In recent articles, the investigation of atomic bases in cluster algebras associated to affine quivers led the second-named author to introduce a variety called transverse quiver G…
Friezes and a construction of the euclidean cluster variables
I. Assem, G. Dupont
Let be an euclidean quiver. Using friezes in the sense of Assem-Reutenauer-Smith, we provide an algorithm for computing the (canonical) cluster character associated to any obje…
Generic cluster characters
G. Dupont
Let $\CC$ be a Hom-finite triangulated 2-Calabi-Yau category with a cluster-tilting object . Under a constructibility condition we prove the existence of a set $\mathcal G^T(\CC…