[Calcul moulien – Autours des symétries secondaires]
Le calcul moulien est un outil combinatoire puissant, qui fournit souvent des formules explicites, alors que d'autres moyens de calcul n'aboutissent pas. Il en existe une interprétation/un dictionnaire en termes d'algèbres de Hopf. Mais ce dictionnaire n'a pas été développé jusqu'aux moules formels. Nous présentons ici une telle interprétation et donnons alors une méthode générique permettant de prouver les symétries de moules formels.
Mould calculus is a powerful combinatorial tool that often provides some explicit formulae when there are no other available computational methods. It has a well-known interpretation/dictionary in terms of Hopf algebras. But this dictionary does not provide any equivalent of formal moulds. Thus, we present here such an interpretation and give a generic way to prove mould symmetries of formal moulds.
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@article{CRMATH_2016__354_10_965_0,
author = {Olivier Bouillot},
title = {Mould calculus {\textendash} {On} the secondary symmetries},
journal = {Comptes Rendus. Math\'ematique},
pages = {965--970},
publisher = {Elsevier},
volume = {354},
number = {10},
year = {2016},
doi = {10.1016/j.crma.2016.08.002},
language = {en},
}
Olivier Bouillot. Mould calculus – On the secondary symmetries. Comptes Rendus. Mathématique, Volume 354 (2016) no. 10, pp. 965-970. doi : 10.1016/j.crma.2016.08.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.08.002/
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