The action of a mirabolic subgroup on a symmetric variety
Representation Theory
2020-11-03 v2
Abstract
Let F be a local field of character zero. Let E be a quadratic field extension of F. We show that any P-invariant linear functional on a GL(n,E)-distinguished irreducible smooth admissible representation of GL(2n,F) is also GL(n,E)-invariant where P is a mirabolic subgroup of GL(n,E).
Keywords
Cite
@article{arxiv.2008.08463,
title = {The action of a mirabolic subgroup on a symmetric variety},
author = {Hengfei Lu},
journal= {arXiv preprint arXiv:2008.08463},
year = {2020}
}
Comments
The action of \sigma has been modified a bit. arXiv admin note: text overlap with arXiv:2004.00447