Poisson algebras associated with quasi-Hopf algebras
Enriquez, Benjamin ; Halbout, Gilles
HAL, hal-00086324 / Harvested from HAL
Text on HAL
We define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by planck constant over two pi-adic valuation conditions. We show that any QHQUE algebra is twist-equivalent to an admissible one. We prove a related statement: any associator is twist-equivalent to a Lie associator. We attach a quantized formal series algebra to each admissible QHQUE algebra and study the resulting Poisson algebras.
Publié le : 2004-07-05
Classification:  17B63 16W30,  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00086324,
     author = {Enriquez, Benjamin and Halbout, Gilles},
     title = {Poisson algebras associated with quasi-Hopf algebras},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00086324}
}

Enriquez, Benjamin; Halbout, Gilles. Poisson algebras associated with quasi-Hopf algebras. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00086324/