A characterization of the Grassmannian of points and lines for -buildings.
A generalization of a construction due to Van Nypelseer.
A group-free characterization of the -geometry for .
A tilde geometry for .
A tropical view on Bruhat-Tits buildings and their compactifications
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 of the representation...
A universal construction for projective Hjelmslev planes of level
All geometries of the Mathieu group based on maximal subgroups.