  We study residue formulas for push-forward in K-theory of homogeneous spaces.
First we review formulas for classical groups, which we derive from a formula
for the classical Grassmannian case. Next we consider the homogeneous spaces
for G2. One of them embeds in the Grassmannian Gr(2,7). We find its fundamental
class in the equivariant K-theory and obtain the residue formula for the
push-forward. This formula is valid for G2/B as well.
