ABSTRACT
This chapter begins with technicolor, a scheme proposed by L. Susskind, which was based on a generalization of the color group SU(3) of the strong interactions. It was briefly fashionable but was completely ruled out by experimental results and has now been forgotten by most serious researchers. The various techniques for the standard model Lie groups apply directly, including the classification theorem by Dynkin. The orthogonal groups are interesting because, like the unitary groups, they can have complex representations. Higher dimensional orthogonal states contain several such families in a single irreducible representation. The Lie group techniques we need have all been done in the standard model section or are trivial extensions. But it is important to record the Dynkin classification.
