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

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.

16 pages. arXiv admin note: substantial text overlap with arXiv:1012.4661 by other authors

References in corpus (2)

• On triangulated orbit categories
• Perverse equivalences, BB-tilting, mutations and applications