Differential equations for singular vectors of sp(2n)

doi:10.1080/00927870500261496

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	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 + ht alpha is a nonnegative integer for some positive root alpha, whose existence was proven by Jantzen. In the case n = 2, we completely solved the system in a certain space of power series.
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.