Combinatorial Howe duality of symplectic type

We give a new combinatorial interpretation of Howe dual pairs the form $(\g,{\rm Sp}_{2\ell})$, where $\g$ is Lie (super)algebra classical type. This done by establishing symplectic analogue RSK algorithm associated to this pair, in uniform way which does not depend on $\g$. introduce an jeu de taquin sliding for spinor model irreducible characters superalgebra define $P$-tableau and show that $Q$-tableau given tableau due King.