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August 2022 An Intrinsic Characterization of Bruhat–Tits Buildings Inside Analytic Groups
Bertrand Rémy, Amaury Thuillier, Annette Werner
Michigan Math. J. 72: 543-557 (August 2022). DOI: 10.1307/mmj/20217220

Abstract

Given a reductive 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 building into the analytic space associated with 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.

Dedication

Dedicated to Gopal Prasad with admiration

Citation

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Bertrand Rémy. Amaury Thuillier. Annette Werner. "An Intrinsic Characterization of Bruhat–Tits Buildings Inside Analytic Groups." Michigan Math. J. 72 543 - 557, August 2022. https://doi.org/10.1307/mmj/20217220

Information

Received: 31 August 2021; Revised: 22 November 2021; Published: August 2022
First available in Project Euclid: 2 August 2022

Digital Object Identifier: 10.1307/mmj/20217220

Subjects:
Primary: 14G22 , 14L15 , 20E42 , 51E24

Rights: Copyright © 2022 The University of Michigan

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Vol.72 • August 2022
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