The Singularity Categories of the Cluster-Tilted Algebras of Dynkin Type

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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Veröffentlicht in:	Algebras and representation theory 2015-04, Vol.18 (2), p.531-554
Hauptverfasser:	Chen, Xinhong, Geng, Shengfei, Lu, Ming
Format:	Artikel
Sprache:	eng
Schlagworte:	Associative Rings and Algebras Commutative Rings and Algebras Mathematics Mathematics and Statistics Non-associative Rings and Algebras
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Beschreibung
Zusammenfassung:	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.
ISSN:	1386-923X 1572-9079
DOI:	10.1007/s10468-014-9507-6