A note on the admissibility of smooth simple $RG$-modules

Autor: Sheth, Mihir
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
DOI: 10.4171/RSMUP/148
Popis: Let $G$ be a $p$-adic reductive group and $R$ be a noetherian Jacobson $\mathbb{Z}[1/p]$-algebra. In this note, we show that every smooth irreducible $R$-linear representation of $G$ is admissible using the finiteness result of Dat, Helm, Kurinczuk and Moss for Hecke algebras over $R$.
Comment: differs from the accepted version with Z_l replaced by Z[1/p]
Databáze: arXiv