Location of reducibility points of induced representations I: A toy example
Representation Theory
2021-12-06 v1 Number Theory
Abstract
By analyzing the singularity of standard intertwining operators, we provide a new way to understand the explicit location of reducibility points of induced representations of two Speh representations for general linear groups over a p-adic field. Through playing with this toy example, it seems that the analytic approach, in the spirit of M{\oe}glin--Waldspurger, could play a role for analogous reducibility problems in the setting of classical groups. On the other hand, it also stimulates the arising of some interesting questions.
Keywords
Cite
@article{arxiv.2112.01795,
title = {Location of reducibility points of induced representations I: A toy example},
author = {Caihua Luo},
journal= {arXiv preprint arXiv:2112.01795},
year = {2021}
}