4 papers
Extended generalized permutahedra, and cointeracting bialgebras
Gunnar Fløystad, Dominique Manchon
A Hopf monoid structure on extended generalized permutahedra (EGP) was recently introduced by M.Aguiar and F.Ardila. We investigate the existence of a cointeracting bialgebra struc…
The five-sequence of adjoints for combinatorial simplicial complexes
Gunnar Fløystad
For a set let be the poset of simplicial complexes whose vertices are in . For a function there are functors $ f^{! !}, f^{**}, f^{i…
Submodular functions, generalized permutahedra, conforming preorders, and cointeracting bialgebras
Gunnar Fløystad, Dominique Manchon
Submodular functions defined on the power set of a finite set are in bijection with generalized permutahedra $\egp(z)$. To any such we define a class of preorders, {\it con…
Surprising occurrences of order structures in mathematics
Gunnar Fløystad
Order and symmetry are main structural principles in mathematics. We give five examples where on the face of it order is not apparent, but deeper investigations reveal that they ar…