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SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS
Li, Wen-Wei1,2
2019
Source PublicationJOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU
ISSN1474-7480
Volume18Issue:1Pages:25-123
AbstractLet (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.
Keywordendoscopy character relation metaplectic group Arthur-Selberg trace formula
DOI10.1017/S1474748016000384
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000452912100002
PublisherCAMBRIDGE UNIV PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31963
Collection数学所
Affiliation1.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
Recommended Citation
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.
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