English

Weyl group extension of quantized current algebras

Quantum Algebra 2007-05-23 v1

Abstract

In this paper, we extend the Drinfeld current realization of quantum affine algebras Uq(^)U_q(\hat {\gg}) and of the Yangians in several directions: we construct current operators for non-simple roots of {\gg}, define a new braid group action in terms of the current operators and describe the universal R-matrix for the corresponding ``Drinfeld'' comultiplication in the form of infinite product and in the form of certain integrals over current operators.

Keywords

Cite

@article{arxiv.math/9804139,
  title  = {Weyl group extension of quantized current algebras},
  author = {Jintai Ding and Sergei Khoroshkin},
  journal= {arXiv preprint arXiv:math/9804139},
  year   = {2007}
}

Comments

LaTeX, 23pp

R2 v1 2026-07-22T17:58:24.626Z