3 papers
math.GR2026
The braid group Bn is not a quotient of a quasi-Coxeter interval group of type Dn
Barbara Baumeister, Luis Paris, Sarah Rees
We prove that, for , an interval group associated with a proper quasi-Coxeter element of the Coxeter group of type admits no surjective homomorphism onto the braid g…
math.RT2025
Non-crossing partitions for exceptional hereditary curves
Barbara Baumeister, Igor Burban, Georges Neaime +1
We introduce a new class of reflection groups associated with the canonical bilinear lattices of Lenzing, which we call reflection groups of canonical type. The main result of this…
math.GR2024
The hyperbolic cover of an elliptic Weyl group
Barbara Baumeister, Patrick Wegener
In this paper, we study in detail the hyperbolic covers and of an elliptic Weyl system introduced by Saito. We show that they are isomorphic and also isomorph…