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arXiv · 2610.26983

Uniqueness of twisted linear periods

Yufeng Li·Hengfei Lu·Junyan Xiao
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Abstract

Let $F$ be a non-Archimedean local field of characteristic zero, and let $\D$ be either $F$ or a quaternion division algebra over $F$. We prove that every irreducible smooth representation of $\GL_{p+q}(\D)$ has at most one linear period transforming under any prescribed character of $\GL_p(\D)\times\GL_q(\D)$.

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Yufeng Li, Hengfei Lu, Junyan Xiao. 2026-10-19. Uniqueness of twisted linear periods. https://arxiv.org/abs/2610.26983

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