33 citations · 165 across the 27 of their papers we have counts for
32 papers
Weak order on groups generated by involutions
Fabricio Dos Santos, Christophe Hohlweg, Aleksandr Trufanov
In this article, we propose to initiate the general study of involution systems. An {\em involution system}, that is, a group generated by a set of involutions , is naturall…
On generating functions and automata associated to reflections in Coxeter systems
Riccardo Biagioli, Christophe Hohlweg, Elisa Sasso
In this article, we study two combinatorial problems concerning the set of reflections of a Coxeter system. The first problem asks whether the language of palindromic reduced words…
A conjecture on descents, inversions and the weak order
Christophe Hohlweg, Viviane Pons
In this article, we discuss the notion of partition of elements in an arbitrary Coxeter system : a partition of an element is a subset such that…
The Primitive Eulerian polynomial
Jose Bastidas, Christophe Hohlweg, Franco Saliola
We introduce the Primitive Eulerian polynomial of a central hyperplane arrangement . It is a reparametrization of its cocharacteristic polynomial. Previou…
Shi arrangements and low elements in Coxeter groups
Matthew Dyer, Christophe Hohlweg, Susanna Fishel +1
Given an arbitrary Coxeter system and a nonnegative integer , the -Shi arrangement of is a subarrangement of the Coxeter hyperplane arrangement of . Th…
Shi arrangements and low elements in affine Coxeter groups
Nathan Chapelier-Laget, Christophe Hohlweg
Given an affine Coxeter group , the corresponding Shi arrangement is a refinement of the corresponding Coxeter hyperplane arrangements that was introduced by Shi to study Kazhda…