  We construct a finite dimensional representation of the face type, i.e
dynamical, elliptic quantum group associated with $sl_N$ on the Gelfand-Tsetlin
basis of the tensor product of the $n$-vector representations. The result is
described in a combinatorial way by using the partitions of $[1,n]$. We find
that the change of basis matrix from the standard to the Gelfand-Tsetlin basis
is given by a specialization of the elliptic weight function obtained in the
previous paper[Konno17]. Identifying the elliptic weight functions with the
elliptic stable envelopes obtained by Aganagic and Okounkov, we show a
correspondence of the Gelfand-Tsetlin bases (resp. the standard bases) to the
fixed point classes (resp. the stable classes) in the equivariant elliptic
cohomology $E_T(X)$ of the cotangent bundle $X$ of the partial flag variety. As
a result we obtain a geometric representation of the elliptic quantum group on
$E_T(X)$.
