English

Factorization of the Universal R-matrix for $U_q(\hat{sl}_2)$

Quantum Algebra 2009-10-31 v1

Abstract

The factorization of the universal R-matrix corresponding to so called Drinfeld Hopf structure is described on the example of quantum affine algebra Uq(sl^2)U_q(\hat{sl}_2). As a result of factorization procedure we deduce certain differential equations on the factors of the universal R{\cal R}-matrix, which allow to construct uniquely these factors in the integral form.

Keywords

Cite

@article{arxiv.math/0008227,
  title  = {Factorization of the Universal R-matrix for $U_q(\hat{sl}_2)$},
  author = {J. Ding and S. Khoroshkin and S. Pakuliak},
  journal= {arXiv preprint arXiv:math/0008227},
  year   = {2009}
}

Comments

28 pages, LaTeX 2.09 using amssym.def and amssym.tex

R2 v1 2026-07-22T16:34:25.128Z