2 papers
math.CO2026
Computing Joins in the Weak Order of Type B Coxeter Groups: an Algorithmic Approach
Riccardo Biagioli, Lorenzo Perrone
We present an algorithm for computing the join of two elements in the weak order of the Coxeter group of type B. This extends Markowsky's algorithm for computing joins of standard…
math.CO2025
On a Conjecture of Dyer on the Join in the Weak Order of a Coxeter group
Riccardo Biagioli, Lorenzo Perrone
In one of his papers on the weak order of Coxeter groups, Dyer formulates several conjectures. Among these, one affirms that the extended weak order forms a lattice, while another…