37 citations · 41 across the 8 of their papers we have counts for
7 papers · 1 filter
Tessellations of an affine apartment by affine weight polytopes
Claudio Bravo, Auguste Hébert, Diego Izquierdo +1
Let $\A$ be a finite dimensional vector space and be a finite root system in $\A$. To this data is associated an affine poly-simplicial complex. Motivated by a forthcoming cons…
Arithmetic subgroups of Chevalley group schemes over function fields II: Conjugacy classes of maximal unipotent subgroups
Claudio Bravo, Benoit Loisel
Let be a smooth, projective, geometrically integral curve defined over a perfect field . Let be the function field of $\mathca…
Arithmetic subgroups of Chevalley group schemes over function fields I: quotients of the Bruhat-Tits building by -arithmetic subgroups
Claudio Bravo, Benoit Loisel
Let be a reductive Chevalley group scheme (defined over ). Let be a smooth, projective, geometrically integral curve over a field $\mathbb{F}…
Quotients of the Bruhat-Tits tree by arithmetic subgroups of special unitary groups
Luis Arenas-Carmona, Claudio Bravo, Benoit Loisel +1
Let be the function field of a curve over a field of either odd or zero characteristic. Following the work by Serre and Mason on , we study the…
-buildings associated to quasi-split groups over -valued fields
Auguste Hébert, Diego Izquierdo, Benoit Loisel
Let be a quasi-split reductive group and be a Henselian field equipped with a valuation , where is a non-zero tota…
Explicit generators of some pro-p groups via Bruhat-Tits theory
Benoit Loisel
Given a semisimple group over a local field of residual characteristic p, its topological group of rational points admits maximal pro-p-subgroups. Quasi-split simply-connected semi…
On profinite subgroups of an algebraic group over a local field
Benoit Loisel
The purpose of this paper is to link anisotropy properties of an algebraic group together with compactness issues in the topological group of its rational points. We nd equivalent…