A note on the admissibility of smooth simple $RG$-modules
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912072622669824 |
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| author | Sheth, Mihir |
| author_facet | Sheth, Mihir |
| contents | 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 $R$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10881 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the admissibility of smooth simple $RG$-modules Sheth, Mihir Representation Theory Number Theory 22E50, 11F70, 20C08 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 $R$. |
| title | A note on the admissibility of smooth simple $RG$-modules |
| topic | Representation Theory Number Theory 22E50, 11F70, 20C08 |
| url | https://arxiv.org/abs/2410.10881 |