English

Yangian and quantum universal solutions of Gervais--Neveu--Felder equations

Quantum Algebra 2009-11-07 v2

Abstract

We construct universal Drinfel'd twists defining deformations of Hopf algebra structures based upon simple Lie algebras and contragredient simple Lie superalgebras. In particular, we obtain deformed and dynamical double Yangians. Some explicit realisations as evaluation representations are given for sl(N), sl(1|2) and osp(1|2).

Keywords

Cite

@article{arxiv.math/0104181,
  title  = {Yangian and quantum universal solutions of Gervais--Neveu--Felder equations},
  author = {D. Arnaudon and J. Avan and L. Frappat and E. Ragoucy},
  journal= {arXiv preprint arXiv:math/0104181},
  year   = {2009}
}

Comments

19 pages