| 李代数sl(∞)奇异向量的偏微分方程(英文) |
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| 引用本文： | 李军波,法焕霞. 李代数sl(∞)奇异向量的偏微分方程(英文)[J]. 怀化学院学报, 2005, 24(5): 33-36 |
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| 作者姓名： | 李军波 法焕霞 |
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| 作者单位： | 常熟理工学院,数学系,江苏,常熟,215500 |
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| 基金项目： | Acknowledgement The author would like to express guidance and giving some valuable suggestions. He also gives help. his deep gratitude to Professor J.H.Zhou for his thanks to Professor L.S. Zhu for his guidance and help. |
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| 摘 要： | 得到决定李代数sl(∞)的Vemla模的奇异向量的微分方程,并在形式幂级数空间中找到了其多项式解,而多项式解对应Verma模的奇异向量．
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| 关 键 词： | 微分方程 奇异向量 Verma 模 |
| 文章编号： | 1671-9743（2005）05-0033-04 |
| 收稿时间： | 2005-09-10 |
| 修稿时间： | 2005-09-10 |
Differential Equations for Singular Vectors of sl (∞) |
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| LI Jun-bo,FA Huan-xia. Differential Equations for Singular Vectors of sl (∞)[J]. Journal of Huaihua University, 2005, 24(5): 33-36 |
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| Authors: | LI Jun-bo FA Huan-xia |
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| Abstract: | This paper derives a series of systems that determine the singular vectors of sl ( ∞ ) in the corresponding Verma modules. We find polynomial solutions to the systems in a certain space of power series. The polynomial solutions correspond to the singular vectors in the Verma modules. |
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| Keywords: | differential equations singular vectors Verona module |
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