ON BRAIDED POISSON AND QUANTUM INHOMOGENEOUS GROUPS*)


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Abstract

The well known incompatibility between inhomogeneous quantum groups and the standard q-deformation is shown to disappear (at least in certain cases) when admitting the quantum group to be braided. Braided quantum ISO(p,Np) containing Soq(p,Np) with |q| = 1 are constructed for N = 2p, 2p + 1, 2p + 2. Their Poisson analogues (obtained first) are presented as an introduction to the quantum case.

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