Abstract
We give a new combinatorial interpretation of Howe dual pairs of the form (g,Sp2ℓ), where g is a Lie (super)algebra of classical type. This is done by establishing a symplectic analogue of the RSK algorithm associated to this pair, in a uniform way which does not depend on g. We introduce an analogue of jeu de taquin sliding for spinor model of irreducible characters of a Lie superalgebra g to define a P-tableau and show that the associated Q-tableau is given by a symplectic tableau due to King.
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