Compactifications of Bruhat-Tits buildings associated to linear representations
Compactifications of Bruhat-Tits buildings associated to linear representations
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. In addition, this family can …