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The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra (2007)

Abstract
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.

Publication details
Download http://hal.archives-ouvertes.fr/hal-00135741/en/
Publisher HAL - CCSd - CNRS
Contributors import arXiv
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords Mathematics/Quantum Algebra
Language Englisch