  In a previous paper Affine symmetries of the equivariant quantum cohomology
of rational homogeneous spaces, a general formula was given for the
multiplication by some special Schubert classes in the quantum cohomology of
any homogeneous space. Although this formula is correct in the non equivariant
setting, the stated equivariant version was wrong. We provide corrections for
the equivariant formula, thus giving a correct argument for the non equivariant
formula. We also give new formulas in the equivariant homology of the affine
grassmannian that could lead to Pieri type formulas.
