Howe duality and dichotomy for exceptional theta correspondences
Representation Theory
2021-02-02 v1 Number Theory
Abstract
We study three exceptional theta correspondences for p-adic groups, where one member of the dual pair is the exceptional group G2. We prove the Howe duality conjecture for these dual pairs and a dichotomy theorem, and determine explicitly the theta lifts of all non-cuspidal representations.
Keywords
Cite
@article{arxiv.2102.00372,
title = {Howe duality and dichotomy for exceptional theta correspondences},
author = {Wee Teck Gan and Gordan Savin},
journal= {arXiv preprint arXiv:2102.00372},
year = {2021}
}
Comments
56 pages