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

D. Arnaudon (1) , Jean Avan (2) , L. Frappat (1) , E. Ragoucy (1)

1 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique
2 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

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).

Domaines: Algèbres quantiques [math.QA]

D. Arnaudon, Jean Avan, L. Frappat, E. Ragoucy. Yangian and quantum universal solutions of Gervais--Neveu--Felder equations. Communications in Mathematical Physics, 2002, 226, pp.183. ⟨hal-00010064⟩