G. Dupont

activity

20052013

most citedGeneric Variables in Acyclic Cluster Algebras and Bases in Affine Cluster Algebras

17 citations · 67 across the 17 of their papers we have counts for

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3 papers · 1 filter

math.RA2011★ 11 cited

Atomic bases in cluster algebras of types A and $A$

Grégoire Dupont, Hugh Thomas

We give explicit atomic bases of arbitrary coefficient-free cluster algebras of types $A$ and $A$ .

math.RA2011★ 2 cited

Quasi-cluster algebras from non-orientable surfaces

Grégoire Dupont, Frédéric Palesi

With any non necessarily orientable unpunctured marked surface (S,M) we associate a commutative algebra, called quasi-cluster algebra, equipped with a distinguished set of generato…

math.RA2009

Positivity in coefficient-free rank two cluster algebras

G. Dupont

Let $b, c$ be positive integers, $x_{1}, x_{2}$ be indeterminates over $Z$ and $x_{m}, m \in Z$ be rational functions defined by $x_{m - 1} x_{m + 1} = x_{m}^{b} + 1$ if $m$ is odd and $x_{m-1…

Atomic bases in cluster algebras of types A and A

Quasi-cluster algebras from non-orientable surfaces

Positivity in coefficient-free rank two cluster algebras

Atomic bases in cluster algebras of types A and $A$