12 citations · 76 across the 61 of their papers we have counts for
4 papers · 2 filters
Noncrossing arithmetic
Kurusch Ebrahimi-Fard, Loïc Foissy, Joachim Kock +1
Higher-order notions of Kreweras complementation have appeared in the literature in the works of Krawczyk, Speicher, Mastnak, Nica, Arizmendi, Vargas, and others. While the theory…
The antipode of of a Com-PreLie Hopf algebra
Loïc Foissy
We study the compatibility between the antipode and the preLie product of a Com-PreLie Hopf algebra, that is to say a commutative Hopf algebra with a complementary preLie product,…
The Fortuin-Kasteleyn polynomial as a bialgebra morphism and applications to the Tutte polynomial
Loïc Foissy, Claudia Malvenuto
We compute an explicit formula for the antipode of the double bialgebra of graphs in terms of totally acyclic partial orientations, using some general results on double bialgebras.…
Commutative B\_infty -algebras are shuffle algebras
Loïc Foissy, Frédéric Patras
We here construct an explicit isomorphism between any commutative Hopf algebra which underlying coalgebra is the tensor coalgebra of a space and the shuffle algebra based on th…