DOCUMENTA MATHEMATICA, Vol. 6 (2001), 315-341

Annette Werner

Compactification of the Bruhat-Tits Building of PGL by Lattices of Smaller Rank

In this paper we construct a compactification of the Bruhat-Tits building associated to the group $PGL(V)$ by attaching all the Bruhat-Tits buildings of $PGL(W)$ for non-trivial subspaces $W$ of $V$ as a boundary.

2000 Mathematics Subject Classification: 20E42, 20G25

Keywords and Phrases: Bruhat-Tits buildings, PGL, compactification

Full text: dvi.gz 56 k, dvi 140 k, ps.gz 285 k, pdf 287 k.


Home Page of DOCUMENTA MATHEMATICA