On vector valued automorphic forms for the Weil representation
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929575250886656 |
|---|---|
| author | Stein, Oliver |
| author_facet | Stein, Oliver |
| contents | We develop a theory of vector valued automorphic forms associated to the Weil representation $ω_f$ and corresponding to vector valued modular forms transforming with the ``finite'' Weil representation $ρ_L$. For each prime $p$ we determine the structure of a vector valued spherical Hecke algebra depending on $ω_f$, which acts on the space of automorphic forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_06544 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On vector valued automorphic forms for the Weil representation Stein, Oliver Number Theory 11F27 11F25 11F41 20C08 We develop a theory of vector valued automorphic forms associated to the Weil representation $ω_f$ and corresponding to vector valued modular forms transforming with the ``finite'' Weil representation $ρ_L$. For each prime $p$ we determine the structure of a vector valued spherical Hecke algebra depending on $ω_f$, which acts on the space of automorphic forms. |
| title | On vector valued automorphic forms for the Weil representation |
| topic | Number Theory 11F27 11F25 11F41 20C08 |
| url | https://arxiv.org/abs/2108.06544 |