Global uniqueness of small representations
Representation Theory
2015-05-01 v2 Number Theory
Abstract
We prove that automorphic representations whose local components are certain small representations have multiplicity one. The proof is based on the multiplicity-one theorem for certain functionals of small representations, also proved in this paper.
Cite
@article{arxiv.1412.8019,
title = {Global uniqueness of small representations},
author = {Toshiyuki Kobayashi and Gordan Savin},
journal= {arXiv preprint arXiv:1412.8019},
year = {2015}
}
Comments
25 pages, to appear in Mathematische Zeitschrift