Distinguished representations of $GL(n,\mathbb{C})$

Abstract

Let $V$ be a $G{L}_n(\mathbb{R})$-distinguished, irreducible, admissible representation of $G{L}_n(\mathbb{C})$. We prove that any continuous linear functional on $V$, which is invariant under the action of the real mirabolic subgroup, is automatically $G{L}_n(\mathbb{R})$-invariant.

9 pages

Cited by in corpus (2)

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