3 papers
math.GR2025
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…
math.RT2025
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…
math.RT2024
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…