242 citations · 546 across the 54 of their papers we have counts for
3 papers · 1 filter
Cluster-tilted algebras without clusters
Ibrahim Assem, Thomas Bruestle, Ralf Schiffler
Cluster-tilted algebras are trivial extensions of tilted algebras. This correspondence induces a surjective map from tilted algebras to cluster-tilted algebras. If B is a cluster-t…
Positivity for cluster algebras from surfaces
Gregg Musiker, Ralf Schiffler, Lauren Williams
We give combinatorial formulas for the Laurent expansion of any cluster variable in any cluster algebra coming from a triangulated surface (with or without punctures), with respect…
Exceptional sequences and clusters
Kiyoshi Igusa, Ralf Schiffler
We show that exceptional sequences for hereditary algebras are characterized by the fact that the product of the corresponding reflections is the inverse Coxeter element in the Wey…