Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.04973 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908124203450368 |
|---|---|
| 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 |