28 citations · 58 across the 10 of their papers we have counts for
8 papers · 1 filter
Isometries of wall-connected twin buildings
Sebastian Bischof, Bernhard Mühlherr
We introduce the notion of a wall-connected twin building and show that the local-to-global principle holds for these twin buildings. As each twin building satisfying Condition (co…
On isometries of twin buildings
Sebastian Bischof, Anton Chosson, Bernhard Mühlherr
A twin building consists of two buildings that are twinned by a codistance function. We prove that the local structure of a twin building uniquely determines the two buildings up t…
The cone topology on masures
Corina Ciobotaru, Bernhard Mühlherr, Guy Rousseau +1
Masures are generalizations of Bruhat--Tits buildings and the main examples are associated with almost split Kac--Moody groups G over non-Archimedean local fields. In this case, G…
Intrinsic reflections in Coxeter systems
Bernhard Mühlherr, Koji Nuida
Let be a Coxeter system and let . We call a right-angled generator of if or has infinite order for each . We call an intrin…
Quotients of trees for arithmetic subgroups of PGL2 over a rational function field
Ralf Köhl, Bernhard Mühlherr, Koen Struyve
In this note we compute the fundamental domain of the action on the corresponding Bruhat-Tits tree of the arithmetic subgroup of PGL2 with respect to an arbitrary place of the rati…
Abstract involutions of algebraic groups and of Kac-Moody groups
Ralf Köhl, Max Horn, Bernhard Muhlherr
Based on the second author's thesis in this article we provide a uniform treatment of abstract involutions of algebraic groups and of Kac-Moody groups using twin buildings, RGD sys…
Codistances of 3-spherical buildings
Alice Devillers, Bernhard Mühlherr, Hendrik Van Maldeghem
We show that a 3-spherical building in which each rank 2 residue is connected far away from a chamber, and each rank 3 residue is simply 2-connected far away from a chamber, admits…
Isomorphisms of Kac-Moody groups which preserve bounded subgroups
P. -E. Caprace, B. Muehlherr
A subgroup of a Kac-Moody group is called bounded if it is contained in the intersection of two finite type parabolic subgroups of opposite signs. In this paper, we study the isomo…