A comodule-bialgebra structure for word-series substitution and mould composition
| Autor: | Ebrahimi-Fard, Kurusch, Fauvet, Frédéric, Manchon, Dominique |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Journal of Algebra, Volume 489, (2017) 552-581 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2017.07.002 |
| Popis: | 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. Comment: revised version, accepted for publication in Journal of Algebra |
| Databáze: | arXiv |
| Externí odkaz: |
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