The singularity categories of the Cluster-tilted algebras of Dynkin type

Published 18 Apr 2014 in math.RT | (1404.4742v2)

Abstract: In this paper, we use the stable categories of some selfinjective algebras to describe the singularity categories of the cluster-tilted algebras of Dynkin type. Furthermore, in this way, we settle the problem of singularity equivalence classification of the cluster-tilted algebra of type $A$, $D$ and $E$ respectively.

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