Hochschild (Co)homology of a class of Nakayama algebras
Hochschild (Co)homology of a class of Nakayama algebras
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DOI：
10.1007/s10114-007-6072-5
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发表时间：
2008-07
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影响因子：
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通讯作者：
Yunge Xu;Dan Wang
中科院分区：
文献类型：
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作者：
Yunge Xu;Dan Wang
设Λ=kq/i是有限维Nakayama代数，其中q是n的循环定向欧几里得图Аn，I是由单项关系生成的容许理想.在这篇注解中，我们在详细描述Bardzell复合体的基础上，明确地确定了Λ的所有Hochschild同调和上同调群。此外，在基本场为特征零的情况下，可以计算Λ的循环同调。
Abstract Let Λ= kQ/I be a finite-dimensional Nakayama algebra, where Q is an Euclidean diagram Аn for some n with cyclic orientation, and I is an admissible ideal generated by a single monomial relation. In this note we determine explicitly all the Hochschild homology and cohomology groups of Λ based on a detailed description of the Bardzell complex. Moreover, the cyclic homology of Λ can be calculated in the case that the underlying field is of characteristic zero.