  A basis for each finite-dimensional irreducible representation of the
symplectic Lie algebra sp(2n) is constructed. The basis vectors are expressed
in terms of the Mickelsson lowering operators. Explicit formulas for the matrix
elements of generators of sp(2n) in this basis are given. The basis is natural
from the viewpoint of the representation theory of the Yangians. The key role
in the construction is played by the fact that the subspace of sp(2n-2)-highest
vectors in any finite-dimensional irreducible representation of sp(2n) admits a
natural structure of a representation of the Yangian Y(gl(2)).
