  To each of the Johnson, Grassmann and Hamming graphs we associate a lattice
and characterize the eigenspaces of the adjacency operator in terms of this
lattice . We also show that each level of the lattice induces in a natural way
a tight frame for each eigenspace. For the most important eigenspace we compute
explicitly the constant associated to the tight frame. Using the lattice we
also give a formula for the product of the Norton algebra attached to that
eigenspace.
