THE CLASSIFICATION OF SU(3) MODULAR INVARIANTS REVISITED

The SU(3) modular invariant partition functions were first classified in ref. [1]. Here we accomplish the SU(3) classification using only th e most basic facts: modular invariance; M(lambda mu) is an element of Z(greater than or equal to) and M(00) = 1 (in [1], the Moore-Seiberg n aturality ''theorem'' for partition functions was also used). A number of significant simplifications to the general argument are included h ere. Hidden in [1] were a number of smaller results which could be of independent value. These are explicity mentioned here. We also include a survey of known tools for WZW classifications, and sketch the begin nings of a program for classifying all WZW partition functions for any affine algebra g - indeed the proof here has been designed specifical ly to suggest this generalization.