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Non-commutative phase and the unitarization of GL_{p,q}(2)

Metin Arik·Burak T. Kaynak
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Abstract

In this paper, imposing hermitian conjugate relations on the two-parameter deformed quantum group GL_{p,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 U_{p,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 U_{p,q}(2) matrix on states.

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Metin Arik, Burak T. Kaynak. 2002-10-18. Non-commutative phase and the unitarization of GL_{p,q}(2). https://doi.org/10.1063/1.1556552

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