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Compactifications of Bruhat‐Tits buildings associated to linear representations
Author(s) -
Werner Annette
Publication year - 2007
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdm019
Subject(s) - compactification (mathematics) , mathematics , pure mathematics
Let G be a connected semisimple group over a non‐Archimedean local field. For every faithful, geometrically irreducible linear representation of G we define a compactification of the associated Bruhat–Tits building X ( G ). This yields a finite family of compactifications of X ( G ) which contains the polyhedral compactification. In addition, this family can be seen as a non‐Archimedean analogue of the family of Satake compactifications for symmetric spaces.