On the Geometry of the Quantum Poincare Group
arXiv:hep-th/9705227 · doi:10.1016/S0920-5632(97)00326-5
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.
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
References in corpus (6)
- The quantum structure of spacetime at the Planck scale and quantum fields
- Differential Calculus on Iso_q (N), Quantum Poincare' Algebra and q - Gravity
- Vector Fields on Quantum Groups
- The Lagrangian of q-Poincare' Gravity
- Bicovariant Calculus on Twisted ISO(N), Quantum Poincare' Group and Quantum Minkowski Space
- R-Matrix Formulation of the Quantum Inhomogeneous Groups Iso_qr(N) and Isp_qr(N)