The action of a mirabolic subgroup on a symmetric variety
arXiv:2008.08463
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).
The action of σhas been modified a bit. arXiv admin note: text overlap with arXiv:2004.00447