UNIVERSAL R-MATRICES FOR NONSTANDARD (1+1) QUANTUM GROUPS

A universal quasi-triangular R-matrix for the non-standard quantum (11) Poincare algebra U(z)iso(1, 1) is deduced by imposing analyticity i n the deformation parameter z. A family U-omega g mu of 'quantum grade d contractions' of the algebra U(z)iso(1, 1) + U(-z)iso(1, 1) is obtai ned. Quantum analogues of the two-dimensional Euclidean, Poincare and Galilei algebras enlarged with dilations are contained in U-omega g mu as Hopf subalgebras with two primitive translations. Universal R-matr ices for these quantum Weyl (similitude) algebras and their associated quantum groups are constructed.