Parametrization of supercuspidal representations of depth zero for some simple adjoint groups
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908335885778944 |
|---|---|
| author | Fujii, Amoru |
| author_facet | Fujii, Amoru |
| contents | We construct a surjective map from the set of conjugacy classes of depth-zero cuspidal enhanced L-parameters to that of isomorphism classes of depth-zero supercuspidal representations for simple adjoint groups, and check the bijectivity in various cases. We also prove that the Hiraga--Ichino--Ikeda conjecture on the formal degree of essentially square-integrable irreducible representations holds for this parametrization if it is bijective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17225 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parametrization of supercuspidal representations of depth zero for some simple adjoint groups Fujii, Amoru Representation Theory Number Theory 22E50, 11S37, 20G25 We construct a surjective map from the set of conjugacy classes of depth-zero cuspidal enhanced L-parameters to that of isomorphism classes of depth-zero supercuspidal representations for simple adjoint groups, and check the bijectivity in various cases. We also prove that the Hiraga--Ichino--Ikeda conjecture on the formal degree of essentially square-integrable irreducible representations holds for this parametrization if it is bijective. |
| title | Parametrization of supercuspidal representations of depth zero for some simple adjoint groups |
| topic | Representation Theory Number Theory 22E50, 11S37, 20G25 |
| url | https://arxiv.org/abs/2504.17225 |