  In theories of the Kaluza-Klein kind there are spins or total angular moments
in higher dimensions which manifest as charges in the observable $d=(3+1)$. The
charge conjugation requirement, if following the prescription in ($3+1$), would
transform any particle state out of the Dirac sea into the hole in the Dirac
sea, which manifests as an anti-particle having all the spin degrees of freedom
in $d$, except $S^{03}$, the same as the corresponding particle state. This is
in contradiction with what we observe for the anti-particle. In this paper we
redefine the discrete symmetries so that we stay within the subgroups of the
starting group of symmetries, while we require that the angular moments in
higher dimensions manifest as charges in $d=(3+1)$. We pay attention on spaces
with even $d$.
