| 一个Cluster-Tilted代数的Hochschild同调与循环同调 |
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| 引用本文： | 李兆晖,张莎莎,徐运阁.一个Cluster-Tilted代数的Hochschild同调与循环同调[J].数学的实践与认识,2017(11):199-205. |
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| 作者姓名： | 李兆晖 张莎莎 徐运阁 |
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| 作者单位： | 湖北大学数学与统计学学院,应用数学湖北省重点实验室,湖北武汉430062 |
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| 基金项目： | 国家自然科学基金(11371186 |
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| 摘 要： | 基于Furuya构造的一个Cluster-Tilted代数的极小投射双模分解,用组合的方法计算了Cluster-Tilted代数的Hochschild同调空间的维数与基.当基础域的特征为零时,也计算了代数的循环同调群的维数.
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| 关 键 词： | Cluster-Tilted代数 Hochschild同调 循环同调 |
Hochschild Homology and Cyclic Homology of a Cluster-titled Algebra |
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| LI Zhao-hui,ZHANG Sha-sha,XU Yun-ge.Hochschild Homology and Cyclic Homology of a Cluster-titled Algebra[J].Mathematics in Practice and Theory,2017(11):199-205. |
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| Authors: | LI Zhao-hui ZHANG Sha-sha XU Yun-ge |
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| Abstract: | In this paper,based on the minimal projective bimodule resolution of a clustertilted algebra constructed by Furuya,we calculate the dimensions and bases of all the Hochschild homology spaces of a cluster-tilted algebra by using combinatorial methods.When the characteristic of the ground field k is zero,we also compute the dimensions of cyclic homology groups. |
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| Keywords: | cluster-tilted algebra Hochschild homology cyclic homology |
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