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arXiv · 2008.08463

The action of a mirabolic subgroup on a symmetric variety

Hengfei Lu
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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).

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Hengfei Lu. 2020-08-18. The action of a mirabolic subgroup on a symmetric variety. https://arxiv.org/abs/2008.08463

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