Cluster-tilted algebras and slices

By Ibrahim Assem, Thomas Bruestle, Ralf Schiffler. 2007

55 citations recorded by the source corpus.

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 in terms of a combinatorial configuration in the Auslander-Reiten quiver of the cluster-tilted algebra, which we call local slice.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/90ff3ef92a3a6b50e4a9f7e443bd48bbdeab7434