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Article Dans Une Revue Journal of Algebra Année : 2017

A comodule-bialgebra structure for word-series substitution and mould composition

Résumé

An internal coproduct is described, which is compatible with Hoffman's quasi-shuffle product. Hoffman's quasi-shuffle Hopf algebra, with deconcatenation coproduct, is a comodule-Hopf algebra over the bialgebra thus defined. The relation with J. Ecalle's mould calculus, i.e. mould composition and contracting arborification, is precised.

Dates et versions

hal-03042894 , version 1 (07-12-2020)

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Kurusch Ebrahimi-Fard, Frédéric Fauvet, Dominique Manchon. A comodule-bialgebra structure for word-series substitution and mould composition. Journal of Algebra, 2017, 489, pp.552-581. ⟨10.1016/j.jalgebra.2017.07.002⟩. ⟨hal-03042894⟩
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