Some Twisted Results
Gould, M. D. ; Lekatsas, T.
arXiv, 0504184 / Harvested from arXiv
Text on arXiv
The Drinfeld twist for the opposite quasi-Hopf algebra is determined and is shown to be related to the (second) Drinfeld twist. The twisted Drinfeld twist is investigated. In the quasi-triangular case it is shown that the Drinfeld u operator arises from the equivalence of the opposite quasi-Hopf algebra to the quasi-Hopf algebra induced by twisting with the R-matrix. The Altschuler-Coste u operator arises in a similar way and is shown to be closely related to the Drinfeld u operator. The quasi-cocycle condition is introduced, and is shown to play a central role in the uniqueness of twisted structures on quasi-Hopf algebras. A generalisation of the dynamical quantum Yang-Baxter equation, called the quasi-dynamical quantum Yang-Baxter equation is introduced.
Publié le : 2005-04-09
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics,  81R50,  16W30 
@article{0504184,
     author = {Gould, M. D. and Lekatsas, T.},
     title = {Some Twisted Results},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504184}
}

Gould, M. D.; Lekatsas, T. Some Twisted Results. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504184/