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SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS

文献类型：期刊论文

作者Li, Wen-Wei1,2
刊名JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU
出版日期2019
卷号18期号:1页码:25-123
关键词endoscopy character relation metaplectic group Arthur-Selberg trace formula
ISSN号1474-7480
DOI10.1017/S1474748016000384
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000452912100002
出版者CAMBRIDGE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/31962]  
专题数学所
通讯作者Li, Wen-Wei
作者单位1.Univ Chinese Acad Sci, 19A Yuquan Lu, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun Donglu, Beijing 100190, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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