On braided Poisson and quantum inhomogeneous groups

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.

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

References in corpus (6)

• Poisson structures on the Poincare group
• On the classification of quantum Poincaré groups
• Algebras and Hopf Algebras in Braided Categories
• On the structure of inhomogeneous quantum groups
• Phase spaces related to standard classical $r$-matrices
• Braided-Lie bialgebras