  We factorize the space-time coordinates of Minkowski space into Weyl spinors
with components in a split Clifford algebra. Poisson brackets are defined for
Clifford-valued canonical variables and applied to the quantization of the
point particle and string. In particular, we obtain the Lorentz algebra for the
quantum string, and show that the string supports both integral and
half-integral spin states. Commutation and anti-commutation relations are
derived for the amplitudes of the spinning string. The Clifford algebra is
augmented with the octonions through an R-algebra tensor product, and we apply
the results of Manogue, Schray and Dray on octonionic Lorentz transformations
to obtain a Lorentz invariant string action in ten dimensions.
