English

Compactifications of Bruhat-Tits buildings associated to linear representations

Algebraic Geometry 2007-05-23 v1

Abstract

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. Moreover, this family can be regarded as a non-Archimedean analogue of Satake compactifications for symmetric spaces.

Keywords

Cite

@article{arxiv.math/0609843,
  title  = {Compactifications of Bruhat-Tits buildings associated to linear representations},
  author = {Annette Werner},
  journal= {arXiv preprint arXiv:math/0609843},
  year   = {2007}
}

Comments

29 pages

R2 v1 2026-07-22T17:43:18.415Z