Universal R--matrices for non-standard (1+1) quantum groups
Abstract
A universal quasitriangular R--matrix for the non-standard quantum (1+1) Poincar\'e algebra Uziso(1,1) is deduced by imposing analyticity in the deformation parameter z. A family gμ of ``quantum graded contractions" of the algebra Uziso(1,1) U-ziso(1,1) is obtained; this set of quantum algebras contains as Hopf subalgebras with two primitive translations quantum analogues of the two dimensional Euclidean, Poincar\'e and Galilei algebras enlarged with dilations. Universal R--matrices for these quantum Weyl algebras and their associated quantum groups are constructed.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.