| | | | | 李代数sl(∞)奇异向量的偏微分方程(英文) | | | 李军波;法焕霞 | | | 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．
【作者单位】：常熟理工学院数学系;常熟理工学院数学系 江苏 常熟215500;江苏 常熟215500
【关键词】：微分方程;奇异向量;Verma 模
【分类号】：O175.2
【DOI】：cnki:ISSN:1671-9743.0.2005-05-008
【正文快照】：
1 Introduetion Verma module plays a great role in the highest weight representation theory of Lie algebras.We ean find beautiful strueture theory on Verma 1n(月ules.in仁1〕.Accordi眼to[6〕，we can an elementary equation approaeh of determini眼the 51雌ular veetors in any Vermam<刃ule of 51(n).Firstly，the identified the Verma nlodules with a spaee of卯lynomials，and the aetion of 52(n)on the Verma mod Partial author ule was identified a differential operator aetion of 51(n)on the卯lynomials.… | | |  推荐 CAJ下载  PDF下载 | | | CAJViewer7.0阅读器支持所有CNKI文件格式，AdobeReader仅支持PDF格式 | | | | Differential Equations for Singular Vectors of sl(∞) | | | LI Jun-bo FA Huan-xia (Department of Mathematics;Changshu Institute of Technology;Changshu;Jiangsu 215500;China) | | | 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.
【Keyword】：differential equations;singular vectors;Verma module |
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