Repetitive cluster-tilted algebras |
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| Authors: | Zhang Shunhua Zhang Yuehui |
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| Institution: | 1. School of Mathematics, Shandong University, Jinan 250100, China;2. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China |
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| Abstract: | 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. |
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| Keywords: | repetitive cluster category cluster tilting object repetitive cluster-tilted algebra |
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