Cohomological properties of the quantum shuffle product and application to the construction of quasi-Hopf algebras
Ospel, Cyrille
HAL, hal-00138261 / Harvested from HAL
Text on HAL
For a commutative algebra the shuffle product is a morphism of complexes. We generalize this result to the quantum shuffle product, associated to a class of non-commutative algebras (for example all the Hopf algebras). As a first application we show that the Hochschild-Serre identity is the dual statement of our result. In particular, we extend this identity to Hopf algebras. Secondly, we clarify the construction of a class of quasi-Hopf algebras.
Publié le : 2002-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00138261,
     author = {Ospel, Cyrille},
     title = {Cohomological properties of the quantum shuffle product and application to the construction of quasi-Hopf algebras},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00138261}
}

Ospel, Cyrille. Cohomological properties of the quantum shuffle product and application to the construction of quasi-Hopf algebras. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00138261/