On the Geometry of the Quantum Poincare Group
High Energy Physics - Theory
2009-10-30 v1 Quantum Algebra
q-alg
Abstract
We review the construction of the multiparametric inhomogeneous orthogonal quantum group ISO_qr(N) as a projection from SO_qr(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 U_qr(iso(N)), and give an R-matrix formulation. A quantum Lie algebra and a bicovariant differential calculus on twisted ISO(N) are found.
Keywords
Cite
@article{arxiv.hep-th/9705227,
title = {On the Geometry of the Quantum Poincare Group},
author = {Paolo Aschieri},
journal= {arXiv preprint arXiv:hep-th/9705227},
year = {2009}
}
Comments
12 pages, Latex. Contribution to the proceedings of the 30-th Arhenshoop Symposium on the Theory of Elementary Particles. August 1996. To appear in Nucl. Phys. B Proc. Supp