Twisted doubling integrals for classical groups
Number Theory
2021-11-08 v2 Representation Theory
Abstract
We describe the twisted doubling integrals of Cai-Friedberg-Ginzburg-Kaplan in a conceptual way. This also extends the construction to the quaternionic unitary groups. We carry out the unfolding argument uniformly in this article. To do so, we define a family of degenerate Whittaker coefficients that are suitable in this setup and study some of their properties. We also prove certain related global and local results that use the same tools.
Cite
@article{arxiv.1908.10298,
title = {Twisted doubling integrals for classical groups},
author = {Yuanqing Cai},
journal= {arXiv preprint arXiv:1908.10298},
year = {2021}
}
Comments
To appear in Mathematische Zeitschrift