Year: 2026
Type: preprint
Abstract: Let $\DD$ be $\R$, $\C$, or $\HH$, and let $H=\GL_p(\DD)\times\GL_q(\DD)$ be the block diagonal subgroup of $G=\GL_{p+q}(\DD)$. We prove that $\dim\Hom_H(π,η)\leq1$ for every irreducible Casselman--Wallach representation $π$ of $G$ and every smooth character $η$ of $H$.
Source: arXiv (Cornell University)
Authors: Li, Yufeng, Xiao, Junyan
Institution: Peking University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G4917909445, G5880038960
OpenAlex ID: W7222260160