SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS

doi:10.1017/S1474748016000384

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	SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS
	Li, Wen-Wei1,2
	2019
发表期刊	JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU
ISSN	1474-7480
卷号	18 期号:1 页码:25-123
摘要	Let (S-P) over tilde (2n) be the metaplectic covering of Sp(2n) over a local field of characteristic zero. The core of the theory of endoscopy for (S-P) over tilde (2n) is the geometric transfer of orbital integrals to its elliptic endoscopic groups. The dual of this map, called the spectral transfer, is expected to yield endoscopic character relations which should reveal the internal structure of L-packets. As a first step, we characterize the image of the collective geometric transfer in the non-archimedean case, then reduce the spectral transfer to the case of cuspidal test functions by using a simple stable trace formula. In the archimedean case, we establish the character relations and determine the spectral transfer factors by rephrasing the works by Adams and Renard.
关键词	endoscopy character relation metaplectic group Arthur-Selberg trace formula
DOI	10.1017/S1474748016000384
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000452912100002
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31963
专题	数学所
通讯作者	Li, Wen-Wei
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun Donglu, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, 19A Yuquan Lu, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Li, Wen-Wei. SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS[J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU,2019,18(1):25-123.
APA	Li, Wen-Wei.(2019).SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS.JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU,18(1),25-123.
MLA	Li, Wen-Wei."SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS".JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU 18.1(2019):25-123.