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Article Dans Une Revue Journal of Pure and Applied Algebra Année : 2002

Cohomological properties of the quantum shuffle product and application to the construction of quasi-Hopf algebras

Résumé

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.

Dates et versions

hal-00138261 , version 1 (24-03-2007)

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Citer

Cyrille Ospel. Cohomological properties of the quantum shuffle product and application to the construction of quasi-Hopf algebras. Journal of Pure and Applied Algebra, 2002, 173, pp.315-337. ⟨hal-00138261⟩
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