2 problems

Subtableau compatibility conjecture. The bijection $\overline{\Phi}$ is well-behaved with respect to fixing those subtableaux.

Let $\mathcal{LR}(\lambda/\mu,\nu)$ and $\mathcal{LR}(\lambda/\nu,\mu)$ be the sets of Littlewood–Richardson tableaux, and let $\rho_1$, $\rho_2$, and $\rho_2'$ be the bijections d…