10 citations · 11 across the 6 of their papers we have counts for
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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…
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…
The Hopf algebra of finite topologies and mould composition
Frédéric Fauvet, Loïc Foissy, Dominique Manchon
We exhibit an internal coproduct on the Hopf algebra of finite topologies recently defined by the second author, C. Malvenuto and F. Patras, dual to the composition of "quasi-ormou…