On the structure of the split octonion algebra

The known equivalence of special spinors and vector-scalar sets is discussed within the context of the algebra of the split octonions. One implication of this equivalence is that the usual Dirac spinor field can be recast as a vector-scalar field, and this construction is outlined. A process of structure constant factorization is illustrated by the realization of the split octonion multiplication constants (with respect to a spinor basis) as products of certain matrix generators and an arbitrary normalized spinor