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

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