Compactifications of Bruhat-Tits buildings associated to linear representations

2006/09/29 by Annette Werner, Werner, Annette
Mathematics · #20E42 #20G25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:20E42 #msc:20G25

paper · pdf · doi:10.48550/arxiv.math/0609843

29 pages

arxiv created 2006/09/29 · arxiv updated 2009/12/01

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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