An intrinsic characterization of Bruhat-Tits buildings inside analytic groups - Archive ouverte HAL
Article Dans Une Revue The Michigan Mathematical Journal Année : 2022

An intrinsic characterization of Bruhat-Tits buildings inside analytic groups

Résumé

Given a semisimple group over a complete non-Archimedean field, it is well known that techniques from non-Archimedean analytic geometry provide an embedding of the corresponding Bruhat-Tits builidng into the analytic space associated to the group; by composing the embedding with maps to suitable analytic proper spaces, this eventually leads to various compactifications of the building. In the present paper, we give an intrinsic characterization of this embedding.
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Dates et versions

hal-03343671 , version 1 (14-09-2021)

Identifiants

Citer

Bertrand Rémy, Annette Werner, Amaury Thuillier. An intrinsic characterization of Bruhat-Tits buildings inside analytic groups. The Michigan Mathematical Journal, 2022, 72, pp.543-557. ⟨10.1307/mmj/20217220⟩. ⟨hal-03343671⟩
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