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arXiv · 2506.22097

Classification of distinguished representations of GL(2)

Yuki Matsumoto
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Abstract

Let $F$ be a non-archimedean local field with odd residual characteristic, and let $H$ be a maximal torus of ${\rm GL}_2(F)$. In this paper, we will classify the irreducible $H$-distinguished representations of ${\rm GL}_2(F)$ by using Casselman's criteria for $p$-adic symmetric spaces developed by Kato-Takano.

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Yuki Matsumoto. 2025-06-27. Classification of distinguished representations of GL(2). https://arxiv.org/abs/2506.22097

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