Structures immobili\`eres pour un groupe de Kac-Moody sur un corps local
Group Theory
2010-07-28 v3
Abstract
In this study, we try to generalize Bruhat-Tits's theory to the case of a Kac-Moody group, that is to define an affine building for a Kac-Moody group over a local field. Actually, we will obtain a geometric space wich lacks some of the incidence properties of a building, so that it is called a hovel, following Guy Rousseau's terminology. Hovels have already been obtained for split Kac-Moody groups by Guy Rousseau and St\'ephane Gaussent; here we define them for any group with a (generalized) valuated root datum, a situation wich contains the Kac-Moody groups over local fields, split and nearly split.
Cite
@article{arxiv.0912.0442,
title = {Structures immobili\`eres pour un groupe de Kac-Moody sur un corps local},
author = {Cyril Charignon},
journal= {arXiv preprint arXiv:0912.0442},
year = {2010}
}