  Let R be a commutative ring, q a unit of R and P a multiplicatively
antisymmetric matrix with coefficients which are integers powers of q. Denote
by SE(q,P) the multiparameter quantum matrix bialgebra associated to q and
P.Slightly generalizing [Hashimoto-Hayashi,Tohoku Math.Tohoku Math.J.
44(1992)],we define a multiparameter deformation $L_{\l/\mu}V_P$ of the
classical skew Schur module.In case R is a field and q is not a root of 1,
arguments like those given in [H-H] show that $L_{\l/\mu}V_P$ is irreducible
and its decomposition into irreducibles is $\sum_\nu c(\l/\mu;\nu)L_\nu V_P$
where the coefficients are the usual Littlewood-Richardson ones. When R is any
ring and q is allowed to be a root of 1, we construct a filtration of
$L_{\l/\mu}V_P$ as an SE(q,P)-comodule, such that its associated graded object
is precisely $\sum_\nu c(\l/\mu;\nu)L_\nu V_P$.
