Generic decompositions of Deligne--Lusztig representations
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913647193751552 |
|---|---|
| author | Le, Daniel Hung, Bao V. Le Levin, Brandon Morra, Stefano |
| author_facet | Le, Daniel Hung, Bao V. Le Levin, Brandon Morra, Stefano |
| contents | Let $G_0$ be a reductive group over $\mathbb{F}_p$ with simply connected derived subgroup, (geometrically) connected center and Coxeter number $h+1$. We extend Jantzen's generic decomposition pattern from $(2h-1)$-generic to $h$-generic Deligne--Lusztig representations, which is optimal. We also prove several results on the ``obvious'' Jordan--Hölder factors of general Deligne--Lusztig representations. As an application we improve the weight elimination result of arXiv:1610.04819 [math.NT] |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18002 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generic decompositions of Deligne--Lusztig representations Le, Daniel Hung, Bao V. Le Levin, Brandon Morra, Stefano Representation Theory Number Theory Let $G_0$ be a reductive group over $\mathbb{F}_p$ with simply connected derived subgroup, (geometrically) connected center and Coxeter number $h+1$. We extend Jantzen's generic decomposition pattern from $(2h-1)$-generic to $h$-generic Deligne--Lusztig representations, which is optimal. We also prove several results on the ``obvious'' Jordan--Hölder factors of general Deligne--Lusztig representations. As an application we improve the weight elimination result of arXiv:1610.04819 [math.NT] |
| title | Generic decompositions of Deligne--Lusztig representations |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2405.18002 |