Hermund André TORKİLDSEN

10170

COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An

COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An

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,

International Electronic Journal of Algebra-Cover

ISSN: 1306-6048
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2007
Yayıncı: Abdullah HARMANCI

Arşiv

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