| 格点上的非交换微分运算及其应用 |
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| 引用本文： | 刘震,白永强,李起升.格点上的非交换微分运算及其应用[J].数学季刊,2007,22(2):245-251. |
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| 作者姓名： | 刘震 白永强 李起升 |
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| 作者单位： | Center of Mathematical Sciences Zhejiang University Department of Mathematics Zhejiang University of Technology Hangzhou 310023 China，College of Mathematics and Information Science Henan University，Institute of Mathematics Henan University，Hangzhou 310027 China，Kaifeng 475001 China，Kaifeng 475001 China |
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| 基金项目： | 中国博士后科学基金;国家自然科学基金 |
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| 摘 要： | By introducing the noncommutative differential calculus on the function space of the infinite/finite set and construct a homotopy operator, one prove the analogue of the Poincare lemma for the difference complex. As an application of the differential calculus, a two dimensional integral model can be derived from the noncommutative differential calculus.
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| 关 键 词： | Poincaré lemma |
| 文章编号： | 1002-0462（2007）02-0245-07 |
| 收稿时间： | 2006-02-12 |
| 修稿时间： | 2006-02-12 |
Noncommutative Differential Calculus and Its Application on the Lattice |
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| LIU Zhen,BAI Yong-qiang,LI Qi-sheng.Noncommutative Differential Calculus and Its Application on the Lattice[J].Chinese Quarterly Journal of Mathematics,2007,22(2):245-251. |
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| Authors: | LIU Zhen BAI Yong-qiang LI Qi-sheng |
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| Abstract: | By introducing the noncommutative differential calculus on the function space of the infinite/finite set and construct a homotopy operator, one prove the analogue of the Poincare lemma for the difference complex. As an application of the differential calculus, a two dimensional integral model can be derived from the noncommutative differential calculus. |
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| Keywords: | noncommutative geometry noncommutative differential calculus Toda lattice equation |
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