On braided Poisson and quantum inhomogeneous groups

Details On braided Poisson and quantum inhomogeneous groups On braided Poisson and quantum inhomogeneous groups

1997-07-13

arxiv.org/abs/q-alg/9707015v1

Mathematics

Quantum Algebra

LaTeX, 8 pages. Submitted to Proceedings of the 6th Colloquium on Quantum Groups in Prague, June 1997

Scientific paper

10.1023/A:1022889919222

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,N-p) containing SO_q(p,N-p) 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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