On the Quasi-Hopf structure of deformed double Yangians

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

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

We construct universal twists connecting the centrally extended double Yangian DY(sl(2))_c with deformed double Yangians DY_r(sl(2))_c, thereby establishing the quasi-Hopf structures of the latter.

Domaines: Algèbres quantiques [math.QA]

D. Arnaudon, Jean Avan, L. Frappat, E. Ragoucy, M. Rossi. On the Quasi-Hopf structure of deformed double Yangians. Letters in Mathematical Physics, 2000, 51, pp.193. ⟨hal-00010062⟩