The first Hochschild cohomology group of a schurian cluster-tilted algebra

The first Hochschild cohomology group of a schurian cluster-tilted algebra
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schurian 簇倾斜代数的第一个 Hochschild 上同调群

DOI:
10.1007/s00229-008-0238-z
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发表时间:
2007
影响因子:
0.6
通讯作者:
M. J. Redondo
M. J. Redondo
中科院分区:
数学4区
文献类型:
--
作者:
I. Assem;M. J. Redondo

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给定一个簇倾斜代数B,研究其系数在B-B-双模B中的第一Hochschild上同调群HH 1(B).当B是表示有限的,以及B是$${\tilde{\mathbb{A}$$类型的簇倾斜的情况下,我们发现了几个结果。
Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. We find several consequences when B is representation-finite, and also in the case where B is cluster-tilted of type $${\tilde{\mathbb{A}}}$$ .