Actions of GLq(2,C) on C(1,3) and its four dimensional representations
Abstract
A complete classification is given of all inner actions on the Clifford algebra C(1,3) defined by representations of the quantum group GLq(2,C), qm≠ 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 GLq(2,C)-action of this type, which is not an action of SLq(2,C), is generated by 1 and the value of the quantum determinant for the given representation.
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