  We describe four types of inner involutions of the Cartan-Weyl basis
providing (for $ |q|=1$ and $q$ real) three types of real quantum Lie algebras:
$U_{q}(O(3,2))$ (quantum D=4 anti-de-Sitter), $U_{q}(O(4,1))$ (quantum D=4
de-Sitter) and $U_{q}(O(5))$. We give also two types of inner involutions of
the Cartan-Chevalley basis of $U_{q}(Sp(4;C))$ which can not be extended to
inner involutions of the Cartan-Weyl basis. We outline twelve contraction
schemes for quantum D=4 anti-de-Sitter algebra. All these contractions provide
four commuting translation generators, but only two (one for $ |q|=1$, second
for $q$ real) lead to the quantum \po algebra with an undeformed space
rotations O(3) subalgebra.
