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

DOI10.1016/j.jalgebra.2017.07.002zbMath1385.16030arXiv1609.03549OpenAlexW2520601526MaRDI QIDQ1682060

Frédéric Fauvet, Kurusch Ebrahimi-Fard, Dominique Manchon

Publication date: 28 November 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03549

zbMATH Keywords

Hopf algebrarooted treesword seriesbialgebrasurjectionsmould calculusquasi-shuffle productarborificationB- and S-seriescomodule-Hopf algebraweak quasi-shuffle

Mathematics Subject Classification ID

Bialgebras (16T10) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15) Connections of Hopf algebras with combinatorics (16T30)

Related Items (6)

Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions ⋮ Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations ⋮ Quasi‐shuffle algebras and renormalisation of rough differential equations ⋮ Planarly branched rough paths and rough differential equations on homogeneous spaces ⋮ The incidence comodule bialgebra of the Baez-Dolan construction ⋮ Double shuffle relations for arborified zeta values

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