60 citations · 768 across the 56 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.CO2019★ 4 cited
The facial weak order on hyperplane arrangements
Aram Dermenjian, Christophe Hohlweg, Thomas McConville +1
We extend the facial weak order from finite Coxeter groups to central hyperplane arrangements. The facial weak order extends the poset of regions of a hyperplane arrangement to all…
math.RT2019★ 17 cited
Associahedra for finite type cluster algebras and minimal relations between -vectors
Arnau Padrol, Yann Palu, Vincent Pilaud +1
We show that the mesh mutations are the minimal relations among the -vectors with respect to any initial seed in any finite type cluster algebra. We then use this a…
math.CO2019
Signaletic operads
Florent Hivert, Vincent Pilaud
We introduce -signaletic operads and their Koszul duals, generalizing the dendriform, diassociative and duplicial operads (which correspond to the case). We show that the…