A Triangular Deformation of the two Dimensional Poincare Algebra

Abstract

Contracting the $h$-deformation of $\SL(2,\Real)$, we construct a new deformation of two dimensional Poincaré algebra, the algebra of functions on its group and its differential structure. It is also shown that the Hopf algebra is triangular, and its universal R matrix is also constructed explicitly. Then, we find a deformation map for the universal enveloping algebra, and at the end, give the deformed mass shells and Lorentz transformation.

11 pages, LaTeX, Two figures upon request

Cited by in corpus (8)

• Deformed and extended Galilei group Hopf algebras
• Boson representations, non-standard quantum algebras and contractions
• Duality for the Jordanian Matrix Quantum Group $G{L}_{g,h}(2)$
• Twist maps for non-standard quantum algebras and discrete Schrodinger symmetries
• Coloured quantum universal enveloping algebras
• Quantum E(2) groups and Lie bialgebra structures
• The Jordanian deformation of su(2) and Clebsch-Gordan coefficients
• Nonstandard Poincare and Heisenberg Algebras