[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 = {Bouillot, Olivier},
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},
url = {http://www.numdam.org/articles/10.1016/j.crma.2016.08.002/}
}
TY - JOUR AU - Bouillot, Olivier TI - Mould calculus – On the secondary symmetries JO - Comptes Rendus. Mathématique PY - 2016 SP - 965 EP - 970 VL - 354 IS - 10 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2016.08.002/ DO - 10.1016/j.crma.2016.08.002 LA - en ID - CRMATH_2016__354_10_965_0 ER -
Bouillot, Olivier. Mould calculus – On the secondary symmetries. Comptes Rendus. Mathématique, Tome 354 (2016) no. 10, pp. 965-970. doi : 10.1016/j.crma.2016.08.002. http://www.numdam.org/articles/10.1016/j.crma.2016.08.002/
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