Displaying similar documents to “Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank.”

A tropical view on Bruhat-Tits buildings and their compactifications

Annette Werner (2011)

Open Mathematics

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We relate some features of Bruhat-Tits buildings and their compactifications to tropical geometry. If G is a semisimple group over a suitable non-Archimedean field, the stabilizers of points in the Bruhat-Tits building of G and in some of its compactifications are described by tropical linear algebra. The compactifications we consider arise from algebraic representations of G. We show that the fan which is used to compactify an apartment in this theory is given by the weight polytope...