Acta mathematica scientia, Series B >
REPETITIVE CLUSTER-TILTED ALGEBRAS
Received date: 2010-11-02
Revised date: 2011-10-26
Online published: 2012-07-20
Supported by
Supported by the NSF of China (11171183).
Let H be a finite-dimensional hereditary algebra over an algebraically closed field k and CFm be the repetitive cluster category of H with m ≥1. We investigate the properties of cluster tilting objects in CFm and the structure of repetitive cluster-tilted algebras. Moreover, we generalize Theorem 4.2 in [12] (Buan A, Marsh R, Reiten I. Cluster-tilted algebra, Trans. Amer. Math. Soc., 359(1)(2007), 323-332.) to the situation of CFm, and prove that the tilting graph KCFm of CFm is connected.
ZHANG Shun-Hua , ZHANG Yue-Hui . REPETITIVE CLUSTER-TILTED ALGEBRAS[J]. Acta mathematica scientia, Series B, 2012 , 32(4) : 1449 -1454 . DOI: 10.1016/S0252-9602(12)60114-3
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