2 papers
math.CO2026
Maximum number of one-element commutation classes of a permutation
Ricardo Mamede, José Luis Santos, Diogo Soares
In this paper, we provide an upper bound for the number of one-element commutation classes of a permutation, that is, the number of reduced words in which no commutation can be app…
math.CO2025
A uniform action of the dihedral group on Littlewood--Richardson coefficients
Olga Azenhas, Alessandro Conflitti, Ricardo Mamede
We show that the dihedral group of order twelve acts faithfully on the set LR, either consisting of Littlewood-Richardson tableaux, or their companion tableaux, or…