Partial differential equation approach to F-4
文献类型：期刊论文
| 作者 | Xu, Xiaoping
|
| 刊名 | FRONTIERS OF MATHEMATICS IN CHINA
 |
| 出版日期 | 2011-08-01 |
| 卷号 | 6期号:4页码:759-774 |
| 关键词 | Lie algebra F-4-module singular vector harmonic polynomial partial differential equation |
| ISSN号 | 1673-3452 |
| DOI | 10.1007/s11464-011-0131-z |
| 英文摘要 | Singular vectors of a representation of a finite-dimensional simple Lie algebra are weight vectors in the underlying module that are nullified by positive root vectors. In this article, we use partial differential equations to explicitly find all the singular vectors of the polynomial representation of the simple Lie algebra of type F-4 over its 26-dimensional basic irreducible module, which also supplements a proof of the completeness of Brion's abstractly described generators. Moreover, we show that the number of irreducible submodules contained in the space of homogeneous harmonic polynomials with degree k >= 2 is greater than or equal to [k/3] + [k - 2)/ 3] + 2. |
| 语种 | 英语 |
| WOS记录号 | WOS:000295165100013 |
| 出版者 | HIGHER EDUCATION PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12204]  |
| 专题 | 数学所 |
| 通讯作者 | Xu, Xiaoping |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Hua Loo Keng Key Math Lab, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Xiaoping. Partial differential equation approach to F-4[J]. FRONTIERS OF MATHEMATICS IN CHINA,2011,6(4):759-774. |
| APA | Xu, Xiaoping.(2011).Partial differential equation approach to F-4.FRONTIERS OF MATHEMATICS IN CHINA,6(4),759-774. |
| MLA | Xu, Xiaoping."Partial differential equation approach to F-4".FRONTIERS OF MATHEMATICS IN CHINA 6.4(2011):759-774. |
入库方式： OAI收割
来源：数学与系统科学研究院
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