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.
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