Relative trace formulae toward Bessel and Fourier–Jacobi periods on unitary groups
Name
229_2014_Article_666.pdf
Size
738.9 KB
Format
Adobe PDF
Checksum (MD5)
ac51d737c4f57034a777e15133c8b33c
Author(s)
Liu, Yifeng
Date Issued
March 2014
Journal
Manuscripta Mathematica
Publisher
Springer Berlin Heidelberg
Citation
Liu, Yifeng. “Relative Trace Formulae toward Bessel and Fourier–Jacobi Periods on Unitary Groups.” Manuscripta Mathematica 145.1–2 (2014): 1–69.
Version
Author's final manuscript
Abstract
We propose an approach, via relative trace formulae, toward the global restriction problem involving Bessel or Fourier–Jacobi periods on unitary groups U[subscript n] × U[subscript m], generalizing the work of Jacquet–Rallis for m = n − 1 (which is a Bessel period). In particular, when m = 0, we recover a relative trace formula proposed by Flicker concerning Kloosterman/Fourier integrals on quasi-split unitary groups. As evidences for our approach, we prove the vanishing part of the fundamental lemmas in all cases, and the full lemma for U[subscript n] × U[subscript n].
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00229-014-0666-x
