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

Arnaudon, D.; Avan, J.; Frappat, L.; Ragoucy, E.

Arnaudon, D. ; Avan, J. ; Frappat, L. ; Ragoucy, E.

HAL, hal-00010064 / Harvested from HAL

Résumé

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).

Publié le : 2002-07-05
Classification: [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]

@article{hal-00010064,
     author = {Arnaudon, D. and Avan, J. and Frappat, L. and Ragoucy, E.},
     title = {Yangian and quantum universal solutions of Gervais--Neveu--Felder equations},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00010064}
}

Arnaudon, D.; Avan, J.; Frappat, L.; Ragoucy, E. Yangian and quantum universal solutions of Gervais--Neveu--Felder equations. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00010064/