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arXiv · 0903.2101

Combinatorial Deformations of Algebras: Twisting and Perturbations

Gérard Henry Edmond Duchamp·Christophe Tollu·K. A. Penson·Gleb Koshevoy
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Abstract

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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Gérard Henry Edmond Duchamp, Christophe Tollu, K. A. Penson, Gleb Koshevoy. 2009-03-12. Combinatorial Deformations of Algebras: Twisting and Perturbations. https://arxiv.org/abs/0903.2101

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