  For osp(1|2;C) graded Lie algebra, which proper Lie subalgebra is su(2), we
consider the Baker-Campbell-Hausdorff formula and formulate a reality condition
for the Grassmann-odd transformation parameters that multiply the pair of odd
generators of the graded Lie algebra. Utilization of su(2)-spinors clarifies
the nature of Grassmann-odd transformation parameters and allow us an
investigation of the corresponding infinitesimal gauge transformations. We also
explore action of the corresponding group element of UOSp(1|2) on an
appropriately graded representation space and find that the graded
generalization of hermitian conjugation is compatible with the Dirac adjoint.
Consistency of generalized (graded) unitary condition with the proposed reality
condition is shown.
