Quantum algebras for maximal motion groups of N-dimensional flat spaces.

An embedding method to get q-deformations for the nonsemisimple algebras generating the motion groups of N-dimensional flat spaces is presented. This method gives a global and simultaneous scheme of q-deformation for all iso( p, q) algebras and for those obtained from them by some Inönü-Wigner contractions, such as the N-dimensional Euclidean, Poincaré, and Galilei algebras. [ABSTRACT FROM AUTHOR]