Combinatorial Deformations of Algebras: Twisting and Perturbations
Symbolic Computation
2010-08-30 v2 Mathematical Physics
Combinatorics
math.MP
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.
Keywords
Cite
@article{arxiv.0903.2101,
title = {Combinatorial Deformations of Algebras: Twisting and Perturbations},
author = {Gérard Henry Edmond Duchamp and Christophe Tollu and K. A. Penson and Gleb Koshevoy},
journal= {arXiv preprint arXiv:0903.2101},
year = {2010}
}