  The twist 2 and twist 3 contributions of the polarized deep-inelastic
structure functions are calculated both for neutral and charged current
interactions using the operator product expansion in lowest order in QCD. The
relations between the different structure functions are determined. New
integral relations are derived between the twist 2 contributions of the
structure functions $g_3(x,Q^2)$ and $g_5(x,Q^2)$ and between combinations of
the twist 3 contributions to the structure functions $g_2(x,Q^2)$ and
$g_3(x,Q^2)$. The sum rules for polarized deep inelastic scattering are
discussed in detail.
