A note on the admissibility of smooth simple -modules
Mihir Sheth
Indian Institute of Science, Bangalore, India
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Abstract
Let be a -adic reductive group and be a noetherian Jacobson algebra over the ring of -adic integers with . In this note, we show that every smooth irreducible -linear representation of is admissible using the finiteness result of Dat, Helm, Kurinczuk and Moss for Hecke algebras over .
Cite this article
Mihir Sheth, A note on the admissibility of smooth simple -modules. Rend. Sem. Mat. Univ. Padova (2024), published online first
DOI 10.4171/RSMUP/148