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arXiv · 2406.17459

Orbits of a symmetric subgroup in the Bruhat-Tits building

Broussous Paul
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Abstract

Let $G$ be a connected reductive algebraic group defined over a non-archimedean locally compact field $F$ of odd residue characteristic. Let $\theta$ be an $F$-rational involution of $G$ and $H$ be the reductive $F$-group $G^\theta$. We describe the orbits of the symmetric subgroup $H_F$ in the set of chambers of the reduced building of $G$ over $F$.

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Broussous Paul. 2024-06-25. Orbits of a symmetric subgroup in the Bruhat-Tits building. https://arxiv.org/abs/2406.17459

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