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Classification of distinguished representations of GL(2)

Published 27 Jun 2025 in math.RT and math.NT | (2506.22097v1)

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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