Representations distinguished by pairs of exceptional representations and a conjecture of Savin
Representation Theory
2016-02-05 v1
Abstract
We study representations of GL(n) appearing as quotients of a tensor of exceptional representations, in the sense of Kazhdan and Patterson. Such representations are called distinguished. We characterize distinguished principal series representations in terms of their inducing data. In particular, we complete the proof of a conjecture of Savin, relating distinguished spherical representations to the image of the tautological lift from a suitable classical group.
Keywords
Cite
@article{arxiv.1411.3697,
title = {Representations distinguished by pairs of exceptional representations and a conjecture of Savin},
author = {Eyal Kaplan},
journal= {arXiv preprint arXiv:1411.3697},
year = {2016}
}