3 papers
math.CO2026
Generalised flip order on the faces of nestohedra
Pierre-Louis Curien, Bérénice Delcroix-Oger, Bérénice Delcroix-Oger +2
Classical shuffle products on permutations and binary planar rooted trees (i.e., on the vertices of permutohedra and associahedra) admit descriptions in terms of intervals in the w…
math.CO2026
Tridendriform algebras on hypergraph polytopes, the other way around
Pierre-Louis Curien, Bérénice Delcroix-Oger, Bérénice Delcroix-Oger +2
Hypergraph polytopes (or nestohedra) form a broad class of polytopes obtained by truncating faces of a simplex according to a hypergraph. In earlier work, the authors constructed q…
math.CO2025
Lie-operads and operadic modules from poset cohomology
Bérénice Delcroix-Oger, Clément Dupont
As observed by Joyal, the cohomology groups of the partition posets are naturally identified with the components of the operad encoding Lie algebras. This connection was explained…