2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79258A 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.35 pages, LaTex2eQuantum AlgebraActions of GL_q(2,C) on C(1,3) and its four dimensional representationstext