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math.CO2016★ 10 cited
A comodule-bialgebra structure for word-series substitution and mould composition
Kurusch Ebrahimi-Fard, Frédéric Fauvet, Dominique Manchon
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-Ho…
math.CO2016
Operads of finite posets
Frédéric Fauvet, Loïc Foissy, Dominique Manchon
We describe four natural operad structures on the vector space generated by isomorphism classes of finite posets. The three last ones are set-theoretical and can be seen as a simpl…