Theta correspondence for almost unramified representations of unitary groups
Representation Theory
2021-06-01 v1 Number Theory
Abstract
In this note, we introduce the notion of almost unramified representations of quasi-split unitary groups of even ranks with respect to an unramified quadratic extension of local fields, and study their behavior under the local theta correspondence. These representations are in some sense the least ramified representations that have root number .
Keywords
Cite
@article{arxiv.2105.14223,
title = {Theta correspondence for almost unramified representations of unitary groups},
author = {Yifeng Liu},
journal= {arXiv preprint arXiv:2105.14223},
year = {2021}
}
Comments
23 pages, to appear in Journal of Number Theory