Hochschild cohomology of truncated quiver algebras

被引：5

作者：

Xu, Yun-ge

Han, Yang ^{[1
]}

Jiang, Wen-feng

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[2] Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2007年 / 50卷 / 05期

关键词：

truncated quiver algebra; Hochschild cohomology; global dimension; oriented cycle;

D O I：

10.1007/s11425-007-2085-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a truncated quiver algebra over a field of an arbitrary characteristic, its Hochschild cohomology is calculated. Moreover, it is shown that its Hochschild cohomology algebra is finite-dimensional if and only if its global dimension is finite if and only if its quiver has no oriented cycles.

引用

页码：727 / 736

页数：10

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