Bicrossproduct structure of the null-plane quantum Poincare algebra

Abstract

A nonlinear change of basis allows to show that the non-standard quantum deformation of the (3+1) Poincare algebra has a bicrossproduct structure. Quantum universal R-matrix, Pauli-Lubanski and mass operators are presented in the new basis.

7 pages, LaTeX

Cited by in corpus (7)

• Twisted (2+1) $\kappa$-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
• All noncommutative spaces of $\kappa$-Poincaré geodesics
• Universal R-matrix for null-plane quantized Poincar{é} algebra
• Twisting cocycles in fundamental representation and triangular bicrossproduct Hopf algebras
• The noncommutative space of light-like worldlines
• Extensions of Peripheric Extended Twists and Inhomogeneous Lie Algebras
• Induced Representations of Quantum Kinematical Algebras and Quantum Mechanics