Combinatorial algorithms for binary operations on LR-tableaux with entries equal to 1 with applications to nilpotent linear operators

Mariusz Kaniecki, Justyna Kosakowska

In the paper we investigate an algorithmic associative binary operation $\ast$ on the set ${\mathcal{L}\mathcal{R}}_1$ of Littlewood-Richardson tableaux with entries equal to one. We extend $\ast$ t…