We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS.
- Authors
Li, Wen-Wei
- Abstract
Let Sp(2n) be the metaplectic covering of Sp(2n) over a local field of characteristic zero. The core of the theory of endoscopy for Sp(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.
- Publication
Journal of the Institute of Mathematics of Jussieu, 2019, Vol 18, Issue 1, p25
- ISSN
1474-7480
- Publication type
Article
- DOI
10.1017/S1474748016000384