The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra
Chakrabarti, A. ; Chakrabarti, R.
HAL, hal-00135741 / Harvested from HAL
Text on HAL
Using a contraction procedure, we construct a twist operator that satisfies a shifted cocycle condition, and leads to the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra. The corresponding universal ${\cal R}_{h}(y)$ matrix obeys a Gervais-Neveu-Felder equation associated with the U_{h;y}(sl(2)) algebra. For a class of representations, the dynamical Yang-Baxter equation may be expressed as a compatibility condition for the algebra of the Lax operators.
Publié le : 2000-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00135741,
     author = {Chakrabarti, A. and Chakrabarti, R.},
     title = {The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U\_{h;y}(sl(2)) algebra},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00135741}
}

Chakrabarti, A.; Chakrabarti, R. The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00135741/