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Pré-Publication, Document De Travail Année : 2010

Combinatorial Deformations of Algebras: Twisting and Perturbations

Résumé

The framework used to prove the multiplicative law deformation of the algebra of Feynman-Bender diagrams is a \textit{twisted shifted dual law} (in fact, twice). We give here a clear interpretation of its two parameters. The crossing parameter is a deformation of the tensor structure whereas the superposition parameters is a perturbation of the shuffle coproduct of Hoffman type which, in turn, can be interpreted as the diagonal restriction of a superproduct. Here, we systematically detail these constructions.
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Dates et versions

hal-00367636 , version 1 (12-03-2009)
hal-00367636 , version 2 (27-08-2010)

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Citer

Gérard Henry Edmond Duchamp, Christophe Tollu, K. A. Penson, Gleb Koshevoy. Combinatorial Deformations of Algebras: Twisting and Perturbations. 2010. ⟨hal-00367636v2⟩
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