The multi-dimensional <Emphasis Type="Italic">q</Emphasis>-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group |
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| Authors: | Azmi?A?Alt?nta? Metin?Ar?k Ali?S?Ar?kan |
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| Institution: | (1) Chennai Mathematical Institute, Plot H1, SIPCOT IT Park, Padur P.O., Siruseri, 603103 Chennai, Tamilnadu, India;(2) The Institute of Mathematical Sciences, Chennai, India |
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| Abstract: | 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} }
$
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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| Keywords: | |
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