1 citations · 1 across the 2 of their papers we have counts for
4 papers
A classification of generalized root systems
Michael Cuntz, Bernhard Mühlherr
Dimitrov and Fioresi introduced an object that they call a generalized root system. This is a finite set of vectors in a euclidean space satisfying certain compatibilities between…
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…
On the Tits cone of a Weyl groupoid
Michael Cuntz, Bernhard Mühlherr, Christian J. Weigel
We translate the axioms of a Weyl groupoid with (not necessarily finite) root system in terms of arrangements. The result is a correspondence between Weyl groupoids permitting a ro…