2 papers
math.CO2026
Deficit and -symmetry in triangular partitions
Viviane Pons, Loïc Le Mogne
We study the -enumeration of triangular Dyck paths considered by Bergeron and Mazin. To do so, we introduce the notion of triangular and sim-sym tableaux and the deficit sta…
math.CO2026
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…