Year: 2026
Type: preprint
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 $\GL_p(\D)\times\GL_q(\D)$.
Source: arXiv (Cornell University)
Authors: Li, Yufeng, Lu, Hengfei, Xiao, Junyan
Institutions: Beihang University, Peking University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223116077