On the generation of some Lie-type geometries

Ilaria Cardinali, Luca Giuzzi, Antonio Pasini

Let $X_n(K)$ be a building of Coxeter type $X_n=A_n$ or $X_n=D_n$ defined over a given division ring $K$ (a field when $X_n=D_n$). For a non-connected set $J$ of nodes of the…