Non-commutative phase and the unitarization of GLp,q(2)
Abstract
In this paper, imposing hermitian conjugate relations on the two-parameter deformed quantum group GLp,q(2) is studied. This results in a non-commutative phase associated with the unitarization of the quantum group. After the achievement of the quantum group Up,q(2) with pq real via a non-commutative phase, the representation of the algebra is built by means of the action of the operators constituting the Up,q(2) matrix on states.
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