- International Electronic Journal of Algebra
- Vol: 4 Issue: 4
- COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An
COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An
Authors : Hermund André Torkildsen
Pages : 149-158
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Publication Date : 2008-12-01
Article Type : Other
Abstract :The purpose of this paper is to give an explicit formula for the number of non-isomorphic cluster-tilted algebras of type An, by counting the mutation class of any quiver with underlying graph An. It will also follow that if T and T0 are cluster-tilting objects in a cluster category C, then EndC(T) is isomorphic to EndC(T0) if and only if T = τiT0.Keywords : Cluster category, cluster-tilted algebra, quiver, mutation, mutation class, triangulation of polygons, Catalan number