2 citations · 3 across the 3 of their papers we have counts for
4 papers
Reflection factorizations and quasi-Coxeter elements
Patrick Wegener, Sophiane Yahiatene
We investigate the so-called dual Matsumoto property or Hurwitz action in finite, affine and arbitrary Coxeter groups. In particular, we want to investigate how to reduce reflectio…
Extended Weyl groups, Hurwitz transitivity and weighted projective lines II: a uniform approach
Barbara Baumeister, Patrick Wegener, Sophiane Yahiatene
We continue the study of extended Weyl groups , which are reflection groups. Further we recall the definition of a hyperbolic cover of an extended Weyl group, and show that the…
A note on non-reduced reflection factorizations of Coxeter elements
Patrick Wegener, Sophiane Yahiatene
We extend a result of Lewis and Reiner from finite Coxeter groups to all Coxeter groups by showing that two reflection factorizations of a Coxeter element lie in the same Hurwitz o…
Extended Weyl groups, Hurwitz transitivity and weighted projective lines I: Generalities and the tubular case
Barbara Baumeister, Patrick Wegener, Sophiane Yahiatene
We start the systematic study of extended Weyl groups, and continue the combinatorial description of thick subcategories in hereditary categories started by Ingalls-Thomas, Igusa-S…