English

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

High Energy Physics - Theory 2015-06-26 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0208089,
  title  = {Non-commutative phase and the unitarization of GL_{p,q}(2)},
  author = {Metin Arik and Burak T. Kaynak},
  journal= {arXiv preprint arXiv:hep-th/0208089},
  year   = {2015}
}

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7 pages