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math.CO2024
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…
math.CO2018
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…