| 关于遗传代数上的例外序列自同态代数的Hochschild上同调与同调 |
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| 引用本文： | 姚海楼,平艳茹.关于遗传代数上的例外序列自同态代数的Hochschild上同调与同调[J].数学研究及应用,2008,28(1):49-56. |
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| 作者姓名： | 姚海楼 平艳茹 |
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| 作者单位： | College of Applied Science, Beijing University of Technology, Beijing 100022, China |
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| 基金项目： | the National Natural Science Foundation of China （No. 10371036; 10671061）; the Natural Science Foundation of Beijing （1042001）; the Fund of Beijing Education Committee （No. KM200610005024）; Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality and the Fundamental reseaxch Fund of Beijing University of Technology. |
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| 摘 要： | 令$A$是代数闭域$k$上的一个有限维结合代数, $\mod A$是有限维左$A$-模范畴,$X_1,X_2,\ldots,X_n$是$\mod A$中的完全例外序列,再令$E$是$X_1,X_2,\ldots,X_n$的自同态代数,我们在本文内,研究了$E$的总体维数,计算了$E$的Hochschild上同调群和同调群.
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| 关 键 词： | 遗传代数 例外序列自同态代数 Hochschild上同调 同调 |
| 收稿时间： | 2006-06-08 |
| 修稿时间： | 2007-01-16 |
On the Hochschild Cohomology and Homology of Endomorphism Algebras of Exceptional Sequences over Hereditary Algebras |
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| YAO Hai-lou and PING Yan-ru.On the Hochschild Cohomology and Homology of Endomorphism Algebras of Exceptional Sequences over Hereditary Algebras[J].Journal of Mathematical Research with Applications,2008,28(1):49-56. |
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| Authors: | YAO Hai-lou and PING Yan-ru |
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| Institution: | College of Applied Science, Beijing University of Technology, Beijing 100022, China;College of Applied Science, Beijing University of Technology, Beijing 100022, China |
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| Abstract: | In this paper, let A be a finite dimensional associative algebra over an algebraically closed field h, modA be the category of finite dimensional left A-module and X1,X2,... ,X2, in modA be a complete exceptional sequence, and let E be the endomorphism algebra of X1, X2,..., Xn. We study the global dimension of E, and calculate the Hochschild cohomology and homology groups of E. |
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| Keywords: | Hochschild cohomology groups exceptional sequences endomorphism algebras global dimensions |
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