A Compactification of the Bruhat-Tits Building

Erasmus Landvogt (auth.)3540604278, 9783540604273

The aim of this work is the definition of the polyhedral compactification of the Bruhat-Tits building of a reductive group over a local field. In addition, an explicit description of the boundary is given. In order to make this work as self-contained as possible and also accessible to non-experts in Bruhat-Tits theory, the construction of the Bruhat-Tits building itself is given completely.

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Table of contents :
Introduction….Pages 1-13
The apartment….Pages 14-30
The o K -group schemes in the quasi-split case….Pages 31-66
The building in the quasi-split case….Pages 67-97
The building and its compactification….Pages 98-149