Siegel Vectors for Nongeneric Depth Zero Supercuspidals of $GSp(4)$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908124203450368 |
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| author | Cohen, Jonathan |
| author_facet | Cohen, Jonathan |
| contents | Let $F$ be a non-archimedean local field of characteristic zero. If $F$ has even residual characteristic, we assume $F/\mathbb{Q}_2$ is unramified. Let $V$ be a depth zero, irreducible, nongeneric supercuspidal representation of $GSp(4, F)$. We calculate the dimensions of the spaces of Siegel-invariant vectors in $V$ of level $\mathfrak{p}^n$ for all $n\geq0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04973 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Siegel Vectors for Nongeneric Depth Zero Supercuspidals of $GSp(4)$ Cohen, Jonathan Representation Theory 22E50 Let $F$ be a non-archimedean local field of characteristic zero. If $F$ has even residual characteristic, we assume $F/\mathbb{Q}_2$ is unramified. Let $V$ be a depth zero, irreducible, nongeneric supercuspidal representation of $GSp(4, F)$. We calculate the dimensions of the spaces of Siegel-invariant vectors in $V$ of level $\mathfrak{p}^n$ for all $n\geq0$. |
| title | Siegel Vectors for Nongeneric Depth Zero Supercuspidals of $GSp(4)$ |
| topic | Representation Theory 22E50 |
| url | https://arxiv.org/abs/2411.04973 |