Consider the molecular AB_8 (complex with central atom A and 8 B ligands (coordination number 8), for which I determined the point group D_4d) and determine the symmetries and degeneracies of the s, p, and d orbitals of A.
So I believe the general procedure here is to determine a reducible representation for each s, p, and d orbital of the central atom, but how do I do that? Is the s orbital just A1? Is p just B2 and E1? How do I computer these representations?