5 citations · 7 across the 3 of their papers we have counts for
4 papers
math.RA2009
Positivity in coefficient-free rank two cluster algebras
G. Dupont
Let be positive integers, be indeterminates over and be rational functions defined by if is odd and $x_{m-1…
math.RT2008★ 5 cited
Cluster multiplication in regular components via generalized Chebyshev polynomials
G. Dupont
We introduce a multivariate generalization of normalized Chebyshev polynomials of the second kind. We prove that these polynomials arise in the context of cluster characters associ…
math.RT2007★ 2 cited
Caldero-Keller approach to the denominators of cluster variables
G. Dupont
Buan, Marsh and Reiten proved that if a cluster-tilting object in a cluster category associated to an acyclic quiver satisfies certain conditions with respect…
math.RT2005
An approach to non simply laced cluster algebras
G. Dupont
Let be an oriented valued graph equipped with a group of admissible automorphisms satisfying a certain stability condition. We prove that the (coefficient-free) cluster algebra…