  A complete classification is given of all inner actions on the Clifford
algebra C(1,3) defined by representations of the quantum group GL_q(2,C),
q^m\neq 1, which are not reduced to representations of two commuting
"q-spinors". As a consequence of this classification it is shown that the space
of invariants of every GL_q(2,C)-action of this type, which is not an action of
SL_q(2,C), is generated by 1 and the value of the quantum determinant for the
given representation.
