Linear periods for unitary representations
Representation Theory
2022-09-22 v2
Abstract
Let be a local non-Archimedean field of characteristic zero with a finite residue field. Based on Tadi\'{c}'s classification of the unitary dual of , we classify irreducible unitary representations of that have nonzero linear periods, in terms of Speh representations that have nonzero periods. We also give a necessary and sufficient condition for the existence of a nonzero linear period for a Speh representation.
Cite
@article{arxiv.2007.11763,
title = {Linear periods for unitary representations},
author = {Chang Yang},
journal= {arXiv preprint arXiv:2007.11763},
year = {2022}
}
Comments
34 pages, 2 figures. Comments are welcome! Fix some errors (those related to Lemma 3.1 (2) in the first version). Final version to appear in Math Z