  In 1991 V. Ginzburg observed that one can realize irreducible representations
of the group $GL(n,C)$ in the cohomology of certain Springer's fibers for the
group GL(d) (for all natural d). However, Ginzburg's construction of the action
of GL(n) on this cohomology was a bit artificial (he defined the action of
Chevalley generators of the Lie algebra gl(n) on the corresponding cohomology
by certain explicit correspondences, following the work of A. Beilinson, G.
Lusztig and R. MacPherson, who gave a similar construction of the quantum group
$U_q(gl(n))$).
  In this note we give a very simple geometric definition of the action of the
whole group GL(n,C) on the above cohomology and simplify the Ginzburg's
results.
