Weight vector representatives for SO(2N)

This is the authors' abstract. We don't add key points for this paper.

Following Mohapatra and Sakita, it is convenient to rewrite the algebra of 2Nγ-matrices in terms of N annihilation operators and N creation operators. We find them useful in representing weight vectors in the spinorial σN σNc and the irreducible subcomponents of σN×σN and σN×σNc operators. Though their Dynkin labels are readily accessible, a natural basis for the enumeration of their complete set of weights is given by N positive weights of the vectorial representation. Their subgroup content under SU(N)⊆SO(2N) and SO(2m)⊗SO(2N−2m)⊆SO(2N) is made obvious by using a simple identity. Conjugation and Yukawa couplings are touched on briefly.