English

Universal $R$-matrix for non-standard quantum $sl(2,\R)$

q-alg 2016-09-08 v2 Quantum Algebra

Abstract

A universal RR-matrix for the non-standard (Jordanian) quantum deformation of sl(2,R)sl(2,\R) is presented. A family of solutions of the quantum Yang--Baxter equation is obtained from some finite dimensional representations of this Lie bialgebra quantization of sl(2,R)sl(2,\R).

Keywords

Cite

@article{arxiv.q-alg/9604008,
  title  = {Universal $R$-matrix for non-standard quantum $sl(2,\R)$},
  author = {Angel Ballesteros and Francisco J. Herranz},
  journal= {arXiv preprint arXiv:q-alg/9604008},
  year   = {2016}
}

Comments

Revised version to appear in J. Phys. A. LaTeX, 8 pages

R2 v1 2026-07-22T19:21:08.119Z