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Compactifications of Bruhat-Tits buildings associated to linear representations

Annette Werner
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Abstract

Let G be a connected semisimple group over a non-Archimedean local field. For every faithful, geometrically irreducible linear representation of G we define a compactification of the associated Bruhat-Tits building X(G). This yields a finite family of compactifications of X(G) which contains the polyhedral compactification. Moreover, this family can be regarded as a non-Archimedean analogue of Satake compactifications for symmetric spaces.

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Annette Werner. 2006-09-29. Compactifications of Bruhat-Tits buildings associated to linear representations. https://arxiv.org/abs/math/0609843

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