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Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank

arXiv:math/0104032

Abstract

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.

27 pages, one figure