Orbits of a symmetric subgroup in the Bruhat-Tits building

2024/06/25 by B. Paul, Paul, Broussous
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2406.17459

openalex publication_date 2024/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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