242 citations · 546 across the 54 of their papers we have counts for
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math.RT2014★ 6 cited
Induced and Coinduced Modules in Cluster-Tilted Algebras
Ralf Schiffler, Khrystyna Serhiyenko
We propose a new approach to study the relation between the module categories of a tilted algebra and the corresponding cluster-tilted algebra . This new approach…
math.RT2014★ 3 cited
Snake graph calculus and cluster algebras from surfaces II: Self-crossing snake graphs
Ilke Canakci, Ralf Schiffler
Snake graphs appear naturally in the theory of cluster algebras. For cluster algebras from surfaces, each cluster variable is given by a formula which is parametrized by the perfec…
math.RT2014
On cluster algebras from unpunctured surfaces with one marked point
Ilke Canakci, Kyungyong Lee, Ralf Schiffler
We extend the construction of canonical bases for cluster algebras from unpunctured surfaces to the case where the number of marked points is one, and we show that the cluster alge…