  In a paper by Ghorpade and Raghavan, they provide an explicit combinatorial
description of the Hilbert function of the tangent cone at any point on a
Schubert variety in the symplectic Grassmannian, by giving a certain
"degree-preserving" bijection between a set of monomials defined by an initial
ideal and a "standard monomial basis". We prove here that this bijection is in
fact a bounded RSK correspondence.
