An intrinsic characterization of Bruhat-Tits buildings inside analytic groups
Algebraic Geometry
2021-09-14 v1 Group Theory
Abstract
Given a semisimple group over a complete non-Archimedean field, it is well known that techniques from non-Archimedean analytic geometry provide an embedding of the corresponding Bruhat-Tits builidng into the analytic space associated to the group; by composing the embedding with maps to suitable analytic proper spaces, this eventually leads to various compactifications of the building. In the present paper, we give an intrinsic characterization of this embedding.
Cite
@article{arxiv.2109.05939,
title = {An intrinsic characterization of Bruhat-Tits buildings inside analytic groups},
author = {Bertrand Rémy and Amaury Thuillier and Annette Werner},
journal= {arXiv preprint arXiv:2109.05939},
year = {2021}
}
Comments
12 pages, 1 figure. arXiv admin note: text overlap with arXiv:1110.1362