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arXiv · 1212.6436

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

Alexander Kemarsky
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Abstract

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

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Alexander Kemarsky. 2012-12-27. Distinguished representations of $GL(n,\mathbb{C})$. https://arxiv.org/abs/1212.6436

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