Non-standard quantum (1+1) Poincare group: A T-matrix approach

The Hopf algebra dual form for the non-standard uniparametric deformation of the (1 + 1) Poincare algebra iso(1, 1) is deduced. In this framework, the quantum coordinates that generate Fun(w)(ISO(1, 1)) define an infinite dimensional Lie algebra. The T-matrix formalism is used to derive a universal R-matrix for both U(w)iso(1, 1) and Fun(w)(ISO(1, 1)). It is also shown how these results can be generalized for the triangular deformations of (1 + 1) Poincare and Galilei algebras that include a spacetime dilation generator.