REPETITIVE CLUSTER-TILTED ALGEBRAS

作     者：张顺华 张跃辉 

作者机构：School of MathematicsShandong UniversityJinan 250100China Department of MathematicsShanghai Jiaotong UniversityShanghai 200240China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2012年第32卷第4期

页      面：1449-1454页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the NSF of China (11171183) 

主　　题：repetitive cluster category cluster tilting object repetitive cluster-tiltedalgebra 

摘      要：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 clustertilted 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 C Fm, and prove that the tilting graph KCFm of CFm is connected.