12 citations · 76 across the 61 of their papers we have counts for
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math.RA2012
Bruhat order on plane posets and applications
Loïc Foissy
A plane poset is a finite set with two partial orders, satisfying a certain incompatibility condition. The set PP of isoclasses of plane posets owns two products, and an infinitesi…
math.RA2012
Natural endomorphisms of shuffle algebras
Loïc Foissy, Frédéric Patras
We focus in this text on the adaptation to the study of shuffles of the main combinatorial tool in the theory of free Lie algebras, namely the existence of a universal algebra of e…
math.RA2012
Deformation of the Hopf algebra of plane posets
Loïc Foissy
We describe and study a four parameters deformation of the two products and the coproduct of the Hopf algebra of plane posets. We obtain a family of braided Hopf algebras, generall…