Duality for spherical representations in exceptional theta correspondences
Representation Theory
2017-05-23 v1 Number Theory
Abstract
We study the exceptional theta correspondence for real groups obtained by restricting the minimal representation of the split exceptional group of the type E_n, to a split dual pair where one member is the exceptional group of the type G_2. We prove that the correspondence gives a bijection between spherical representations if n=6,7, and a slightly weaker statement if n=8.
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Cite
@article{arxiv.1705.07145,
title = {Duality for spherical representations in exceptional theta correspondences},
author = {Hung Yean Loke and Gordan Savin},
journal= {arXiv preprint arXiv:1705.07145},
year = {2017}
}
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17 pages