49 citations · 93 across the 25 of their papers we have counts for
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math.RT2009
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…
math.RT2009★ 24 cited
Gentle algebras arising from surface triangulations
Ibrahim Assem, Thomas Brüstle, Gabrielle Charbonneau-Jodoin +1
In this paper, we associate an algebra A(T) to a triangulation T of a surface S with a set of boundary marking points. This algebra A(T) is gentle and Gorenstein of dimension one.…