Theta lifts and distinction for regular supercuspidal representations
Representation Theory
2020-02-17 v2
Abstract
This article has a twofold purpose. First, by recent works of Kaletha and Loke-Ma, we give an explicit description of the local theta correspondence between regular supercuspidal representations in the equal rank symplectic-orthogonal case. Second, based on this description, we show that the local theta correspondence preserves distinction with respect to unramified Galois involutions.
Cite
@article{arxiv.1804.09878,
title = {Theta lifts and distinction for regular supercuspidal representations},
author = {Chong Zhang},
journal= {arXiv preprint arXiv:1804.09878},
year = {2020}
}
Comments
Final version, to appear in Mathematische Zeitschrift