Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra
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Abstract
We investigate the inhomogeneous invariance quantum group of the d−dimensional d−parameter deformed boson algebra. It is found that the homogeneous part of this quantum group is given by the d−parameter deformed general linear group. We construct the R-matrix which collects all information about the non-commuting structure of the quantum group for the two-dimensional case.
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Azmi Ali Altintas, Metin Arik, Ali Serdar Arikan, Emre Dil. Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra[J]. Chin. Phys. Lett., 2012, 29(1): 010203. DOI: 10.1088/0256-307X/29/1/010203
Azmi Ali Altintas, Metin Arik, Ali Serdar Arikan, Emre Dil. Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra[J]. Chin. Phys. Lett., 2012, 29(1): 010203. DOI: 10.1088/0256-307X/29/1/010203
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Azmi Ali Altintas, Metin Arik, Ali Serdar Arikan, Emre Dil. Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra[J]. Chin. Phys. Lett., 2012, 29(1): 010203. DOI: 10.1088/0256-307X/29/1/010203
Azmi Ali Altintas, Metin Arik, Ali Serdar Arikan, Emre Dil. Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra[J]. Chin. Phys. Lett., 2012, 29(1): 010203. DOI: 10.1088/0256-307X/29/1/010203
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