  We prove a version of the Poincare-Birkhoff-Witt theorem for the twisted
quantized enveloping algebra U'_q(sp_2n). This is a subalgebra of U_q(gl_2n)
and a deformation of the universal enveloping algebra U(sp_2n) of the
symplectic Lie algebra. We classify finite-dimensional irreducible
representations of U'_q(sp_2n) in terms of their highest weights and show that
these representations are deformations of the finite-dimensional irreducible
representations of sp_2n.
