The multi-dimensional q-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group

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;qij) (n) 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.