2 problems

Let $\beta$ be a dominant weight for the root system $C_n$, let $B(\beta)$ be the corresponding crystal, and let … be its subset of tableaux of weight $\mu$. Let…

Let $T$ be an admissible skew tableau. At each step, choose an inside corner and apply the symplectic jeu de taquin sliding procedure, iterating until a symplectic tableau is obtai…