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

2001/04/03 by Annette Werner, Werner, Annette · 1 citation
Mathematics · #20E42 #20G25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.AG #math.NT #msc:20E42 #msc:20G25

paper · pdf · doi:10.48550/arxiv.math/0104032

27 pages, one figure

arxiv created 2001/04/03 · openalex publication_date 2001/04/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Arithmetic quotients of the Bruhat-Tits building for projective general linear group in positive characteristic

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