The class sum operator approach for the point group O and D4
John P. Killingbeck · Journal of Mathematical Physics · 1973
The class sum operator approach to the representation theory of the point groups O and D4 is described and illustrated by means of several examples. Modified character tables are given for both groups, together with the class multiplication table for O. The construction of tensor operators within the group algebra of each group is discussed, using a modified version of traditional character analysis, and it is found that no E type tensor operator appears in the D4 group algebra.