46 citations · 91 across the 16 of their papers we have counts for
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math.RT2014
Extensions in Jacobian Algebras and Cluster Categories of Marked Surfaces
Ilke Canakci, Sibylle Schroll
In the context of representation theory of finite dimensional algebras, string algebras have been extensively studied and most aspects of their representation theory are well-under…
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…