Constructing tilted algebras from cluster-tilted algebras

JOURNAL OF ALGEBRA

卷:323

Article

Bertani-Okland, Marco Angel¹  Oppermann, Steffen¹  Wralsen, Anette¹ 

[1] NTNU, Inst Matemat Fag, N-7491 Trondheim, Norway

关键词: Tilted algebra;    Cluster-tilted algebra;    Local slice;    APR-tilting;   

DOI  :  10.1016/j.jalgebra.2010.02.026

来源: Elsevier

【 摘 要 】

Any cluster-tilted algebra is the relation extension of a tilted algebra. Given the distribution of a cluster-tilting object in the Auslander-Reiten quiver of the cluster category, we present a method to construct all tilted algebras whose relation extension is the endomorphism ring of this cluster-tilting object. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free