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  1. 2 Open Physics

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  1. 2 2010

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  1. 2 Altıntaş A.

  2. 2 Arık M.

  3. 2 Arıkan A.

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The inhomogeneous quantum invariance group of the multi-dimensional q-deformed boson algebra

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Altıntaş A., Arık M., Arıkan A.
Open Physics
|
2010
|
vol. 8
|
issue 1
131-134
EN
In this study we introduce a multi-dimensional q-deformed boson algebra and calculate its inhomogeneous invariance quantum group.
2
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The multi-dimensional q-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group

100%
Altıntaş A., Arık M., Arıkan A.
Open Physics
|
2010
|
vol. 8
|
issue 5
819-824
EN
We obtain the inhomogeneous invariance quantum group for the multi-dimensional q-deformed bosonic Newton oscillator algebra. The homogenous part of this quantum group is given by the multiparameter quantum group $$ GL_{X;q_{ij} } $$ of Schirrmacher where q ij’s take some special values. We find the R-matrix which gives the non-commuting structure of the quantum group for the two dimensional case.
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