Non-standard quantum (1+1) Poincaré group: a $T$--matrix approach

Abstract

The Hopf algebra dual form for the non--standard uniparametric deformation of the (1+1) Poincaré algebra $iso(1,1)$ is deduced. In this framework, the quantum coordinates that generate $Fu{n}_w(ISO(1,1))$ define an infinite dimensional Lie algebra. A change in the basis of the dual form is obtained in order to compare this deformation to the standard one. Finally, a non--standard quantum Heisenberg group acting on a quantum Galilean plane is obtained.

17 pages, LaTeX.

References in corpus (4)

• A New Null-Plane Quantum Poincare Algebra
• Non-standard quantum so(2,2) and beyond
• Exponential mapping for non semisimple quantum groups
• Universal $R$--matrices for non-standard (1+1) quantum groups

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• Generalized Buchdahl equations as Lie-Hamilton systems from the 'book' and oscillator algebras: Quantum deformations and their general solution