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Hochschild cohomology of truncated quiver algebras
引用本文:Yun-ge XU,Yang HAN & Wen-feng JIANG Faculty of Mathematics & Computer Science,Hubei University,Wuhan 430062,China, Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China. Hochschild cohomology of truncated quiver algebras[J]. 中国科学A辑(英文版), 2007, 50(5): 727-736. DOI: 10.1007/s11425-007-2085-x
作者姓名:Yun-ge XU  Yang HAN & Wen-feng JIANG Faculty of Mathematics & Computer Science  Hubei University  Wuhan 430062  China   Academy of Mathematics and Systems Science  Chinese Academy of Sciences  Beijing 100080  China
作者单位:Yun-ge XU,Yang HAN & Wen-feng JIANG Faculty of Mathematics & Computer Science,Hubei University,Wuhan 430062,China; Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China
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 finitedimensional if and only if its global dimension is finite if and only if its quiver has no oriented cycles.

收稿时间:2005-09-10
修稿时间:2006-09-25

Hochschild cohomology of truncated quiver algebras
Yun-ge Xu,Yang Han,Wen-feng Jiang. Hochschild cohomology of truncated quiver algebras[J]. Science in China(Mathematics), 2007, 50(5): 727-736. DOI: 10.1007/s11425-007-2085-x
Authors:Yun-ge Xu  Yang Han  Wen-feng Jiang
Affiliation:1. Faculty of Mathematics & Computer Science, Hubei University, Wuhan 430062, China
2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
Abstract: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 finitedimensional if and only if its global dimension is finite if and only if its quiver has no oriented cycles.
Keywords:truncated quiver algebra  Hochschild cohomology  global dimension  oriented cycle
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