Year: 2024
Type: preprint
Abstract: Let $G/H$ be a Galois symmetric space for an unramified quadratic extension of a locally compact field $F$, where the group $H$ is semisimple, simply connected, defined and split over $F$. We prove that there exists a subgroup $Γ= Γ(G/H)$ of the group of invertible elements of the Iwahori-Hecke algebra $\mathcal H$ of $G$ such that an Iwahori-spherical representation of $G$ is $H$-distinguished if and only if the corresponding Iwahori-Hecke module is "$Γ$-distinguished".
Source: arXiv (Cornell University)
Author: Broussous, Paul
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4400433967