Orbits of a symmetric subgroup in the Bruhat-Tits building
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914848679395328 |
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| 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 |