The Kostka-Foulkes polynomials K related to a root system ϕ can be
defined as alternated sums running over the Weyl group associated to ϕ.
By restricting these sums over the elements of the symmetric group when is of type B,C or D, we obtain again a class K of
Kostka-Foulkes polynomials. When ϕ is of type C or D there exists a
duality beetween these polynomials and some natural q-multiplicities U in
tensor product \cite{lec}. In this paper we first establish identities for the
K which implies in particular that they can be decomposed as sums
of Kostka-Foulkes polynomials related to the root system of type A with
nonnegative integer coefficients. Moreover these coefficients are branching
rule coefficients. This allows us to clarify the connection beetween the
q-multiplicities U and the polynomials defined by Shimozono and Zabrocki in
\cite{SZ}. Finally we establish that the q-multiplicities U defined for the
tensor powers of the vector representation coincide up to a power of q with
the one dimension sum X introduced in \cite{Ok} This shows that in this case
the one dimension sums are affine Kazhdan-Lusztig polynomials