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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