242 citations · 546 across the 54 of their papers we have counts for
3 papers · 2 filters
On cluster algebras arising from unpunctured surfaces
Ralf Schiffler, Hugh Thomas
We study cluster algebras that are associated to unpunctured surfaces with coefficients arising from boundary arcs. We give a direct formula for the Laurent polynomial expansion of…
On the Galois coverings of a cluster-tilted algebra
Ibrahim Assem, Thomas Bruestle, Ralf Schiffler
We study the module category of a certain Galois covering of a cluster-tilted algebra which we call the cluster repetitive algebra. Our main result compares the module categories o…
Cluster-tilted algebras and slices
Ibrahim Assem, Thomas Bruestle, Ralf Schiffler
We give a criterion allowing to verify whether or not two tilted algebras have the same relation-extension (thus correspond to the same cluster-tilted algebra). This criterion is i…