Article ID Journal Published Year Pages File Type
4588321 Journal of Algebra 2008 16 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory