The spinorial local world-line K-symmetry of the covariant Brink-Schwa
rz formulation of the 4-D superparticle is abelian in an off-shell pha
se-space formulation. The result is shown to generalize to the extende
d spinorial transformations of the spinning superparticle. (C) 1998 El
sevier Science B.V. All rights reserved.