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Noncommutative phase and unitarization of GLp,q(2)

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Zeitschriftentitel: Journal of Mathematical Physics
Personen und Körperschaften: Arik, M., Kaynak, B. T.
In: Journal of Mathematical Physics, 44, 2003, 4, S. 1730-1734
Format: E-Article
Sprache: Englisch
veröffentlicht:
AIP Publishing
Schlagwörter:
Mathematical Physics
Statistical and Nonlinear Physics
author_facet Arik, M.
Kaynak, B. T.
Arik, M.
Kaynak, B. T.
author Arik, M.
Kaynak, B. T.
spellingShingle Arik, M.
Kaynak, B. T.
Journal of Mathematical Physics
Noncommutative phase and unitarization of GLp,q(2)
Mathematical Physics
Statistical and Nonlinear Physics
author_sort arik, m.
spelling Arik, M. Kaynak, B. T. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.1556552 <jats:p>In this article, imposing Hermitian conjugate relations on the two-parameter deformed quantum group GLp,q(2) is studied. This results in a noncommutative phase associated with the unitarization of the quantum group. After the achievement of the quantum group Up,q(2) with pq real via a noncommutative phase, the representation of the algebra is built by means of the action of the operators constituting the Up,q(2) matrix on states.</jats:p> Noncommutative phase and unitarization of GLp,q(2) Journal of Mathematical Physics
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title Noncommutative phase and unitarization of GLp,q(2)
title_unstemmed Noncommutative phase and unitarization of GLp,q(2)
title_full Noncommutative phase and unitarization of GLp,q(2)
title_fullStr Noncommutative phase and unitarization of GLp,q(2)
title_full_unstemmed Noncommutative phase and unitarization of GLp,q(2)
title_short Noncommutative phase and unitarization of GLp,q(2)
title_sort noncommutative phase and unitarization of glp,q(2)
topic Mathematical Physics
Statistical and Nonlinear Physics
url http://dx.doi.org/10.1063/1.1556552
publishDate 2003
physical 1730-1734
description <jats:p>In this article, imposing Hermitian conjugate relations on the two-parameter deformed quantum group GLp,q(2) is studied. This results in a noncommutative phase associated with the unitarization of the quantum group. After the achievement of the quantum group Up,q(2) with pq real via a noncommutative phase, the representation of the algebra is built by means of the action of the operators constituting the Up,q(2) matrix on states.</jats:p>
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author Arik, M., Kaynak, B. T.
author_facet Arik, M., Kaynak, B. T., Arik, M., Kaynak, B. T.
author_sort arik, m.
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description <jats:p>In this article, imposing Hermitian conjugate relations on the two-parameter deformed quantum group GLp,q(2) is studied. This results in a noncommutative phase associated with the unitarization of the quantum group. After the achievement of the quantum group Up,q(2) with pq real via a noncommutative phase, the representation of the algebra is built by means of the action of the operators constituting the Up,q(2) matrix on states.</jats:p>
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series Journal of Mathematical Physics
source_id 49
spelling Arik, M. Kaynak, B. T. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.1556552 <jats:p>In this article, imposing Hermitian conjugate relations on the two-parameter deformed quantum group GLp,q(2) is studied. This results in a noncommutative phase associated with the unitarization of the quantum group. After the achievement of the quantum group Up,q(2) with pq real via a noncommutative phase, the representation of the algebra is built by means of the action of the operators constituting the Up,q(2) matrix on states.</jats:p> Noncommutative phase and unitarization of GLp,q(2) Journal of Mathematical Physics
spellingShingle Arik, M., Kaynak, B. T., Journal of Mathematical Physics, Noncommutative phase and unitarization of GLp,q(2), Mathematical Physics, Statistical and Nonlinear Physics
title Noncommutative phase and unitarization of GLp,q(2)
title_full Noncommutative phase and unitarization of GLp,q(2)
title_fullStr Noncommutative phase and unitarization of GLp,q(2)
title_full_unstemmed Noncommutative phase and unitarization of GLp,q(2)
title_short Noncommutative phase and unitarization of GLp,q(2)
title_sort noncommutative phase and unitarization of glp,q(2)
title_unstemmed Noncommutative phase and unitarization of GLp,q(2)
topic Mathematical Physics, Statistical and Nonlinear Physics
url http://dx.doi.org/10.1063/1.1556552