A Compactification of the Bruhat-Tits Building (Lecture Notes in Mathematics)

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. The apartment.- The o K -group schemes in the quasi-split case.- The building in the quasi-split case.- The building and its compactification.