Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.17459 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914848679395328 |
|---|---|
| author | Paul, Broussous |
| author_facet | Paul, Broussous |
| contents | Let $G$ be a connected reductive algebraic group defined over a non-archimedean locally compact field $F$ of odd residue characteristic. Let $θ$ be an $F$-rational involution of $G$ and $H$ be the reductive $F$-group $G^θ$. We describe the orbits of the symmetric subgroup $H_F$ in the set of chambers of the reduced building of $G$ over $F$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17459 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Orbits of a symmetric subgroup in the Bruhat-Tits building Paul, Broussous Representation Theory Let $G$ be a connected reductive algebraic group defined over a non-archimedean locally compact field $F$ of odd residue characteristic. Let $θ$ be an $F$-rational involution of $G$ and $H$ be the reductive $F$-group $G^θ$. We describe the orbits of the symmetric subgroup $H_F$ in the set of chambers of the reduced building of $G$ over $F$. |
| title | Orbits of a symmetric subgroup in the Bruhat-Tits building |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2406.17459 |