On braided Poisson and quantum inhomogeneous groups
q-alg
2009-10-30 v1 Quantum Algebra
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,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.
Keywords
Cite
@article{arxiv.q-alg/9707015,
title = {On braided Poisson and quantum inhomogeneous groups},
author = {S. Zakrzewski},
journal= {arXiv preprint arXiv:q-alg/9707015},
year = {2009}
}
Comments
LaTeX, 8 pages. Submitted to Proceedings of the 6th Colloquium on Quantum Groups in Prague, June 1997