most citedReflection factorizations and quasi-Coxeter elements

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math.CO2019

Reflection groups and quiver mutation: Diagrammatics

Patrick Wegener

We extend Carter's notion of admissible diagrams and attach a "Dynkin-like" diagram to each reduced reflection factorization of an element in a finite Weyl group. We give a complet…

math.CO2019

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…