  Let $V$ be an irreducible representation of group $GL_n({\mathbb C})$, which
appears as a submodule in $({\mathbb C}^n)^{\otimes d}$, where ${\mathbb C}^n$
is the tautological $n$-dimensional representation of $GL_n$, and $d$ is a
non-negative integer. On the one hand, following refs [Gi] and [BG] one can
produce a basis in $V$ using irreducible components of Sringer fibers over a
nilpotent matrix in ${\mathfrak {gl}}_d$, whose Jordan blocks correspond to the
highest weight of $V$. On the other hand, one can produce a basis in $V$ by
Mirkovi\'c-Vilonen cycles, a construction that works for an arbitrary reductive
group $G$.
  In this note we prove that the resulting to bases coincide.
