Differential equations for singular vectors of sp(2n) | |
Xu, XP![]() | |
刊名 | COMMUNICATIONS IN ALGEBRA
![]() |
2005 | |
卷号 | 33期号:11页码:4177-4196 |
ISSN号 | 0092-7872 |
DOI | 10.1080/00927870500261496 |
英文摘要 | Given a weight lambda of sp (2n), we derive a system of variable-coefficient second-order linear partial differential equations that determines the singular vectors in the corresponding Verma module. Moreover, we find a family of exact solutions of the system in a certain space of power series. The polynomial solutions correspond to the singular vectors in the Verma module. In particular, we find the explicit expression of a singular vector corresponding to the single condition that |
语种 | 英语 |
出版者 | TAYLOR & FRANCIS INC |
WOS记录号 | WOS:000233088200026 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1095] ![]() |
专题 | 数学所 |
通讯作者 | Xu, XP |
作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Xu, XP. Differential equations for singular vectors of sp(2n)[J]. COMMUNICATIONS IN ALGEBRA,2005,33(11):4177-4196. |
APA | Xu, XP.(2005).Differential equations for singular vectors of sp(2n).COMMUNICATIONS IN ALGEBRA,33(11),4177-4196. |
MLA | Xu, XP."Differential equations for singular vectors of sp(2n)".COMMUNICATIONS IN ALGEBRA 33.11(2005):4177-4196. |
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