On the Geometry of the Quantum Poincare Group
Abstract
We review the construction of the multiparametric inhomogeneous orthogonal quantum group ISOqr(N) as a projection from SOqr(N+2), and recall the conjugation that for N=4 leads to the quantum Poincare group. We study the properties of the universal enveloping algebra Uqr(iso(N)), and give an R-matrix formulation. A quantum Lie algebra and a bicovariant differential calculus on twisted ISO(N) are found.
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