31 citations · 42 across the 12 of their papers we have counts for
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math.RT2004★ 7 cited
Quivers with relations and cluster tilted algebras
Philippe Caldero, Frederic Chapoton, Ralf Schiffler
Cluster algebras were introduced by S. Fomin and A. Zelevinsky in connection with dual canonical bases. To a cluster algebra of simply laced Dynkin type one can associate the clust…
math.QA2004
Pointed and multi-pointed partitions of type A and B
Frederic Chapoton, Bruno Vallette
The aim of this paper is to define and study pointed and multi-pointed partition posets of type A and B (in the classification of Coxeter groups). We compute their characteristic p…
math.RT2004
Cluster algebras as Hall algebras of quiver representations
Philippe Caldero, Frederic Chapoton
Recent articles have shown the connection between representation theory of quivers and the theory of cluster algebras. In this article, we prove that some cluster algebras of type…