4 citations · 8 across the 4 of their papers we have counts for
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Algebra and Combinatorics of the Brion map on Generalized Permutahedra
Alvaro Cornejo, Mariel Supina
The Brion morphism maps a generalized permutahedron to a collection of posets associated to its vertices. We compute this map explicitly for the Hopf monoids of permutahedra, assoc…
Techniques in equivariant Ehrhart theory
Sophia Elia, Donghyun Kim, Mariel Supina
Equivariant Ehrhart theory generalizes the study of lattice point enumeration to also account for the symmetries of a polytope under a linear group action. We present a catalogue o…
The Universal Valuation of Coxeter Matroids
Christopher Eur, Mario Sanchez, Mariel Supina
Coxeter matroids generalize matroids just as flag varieties of Lie groups generalize Grassmannians. Valuations of Coxeter matroids are functions that behave well with respect to su…
The equivariant Ehrhart theory of the permutahedron
Federico Ardila, Mariel Supina, Andrés R. Vindas-Meléndez
Equivariant Ehrhart theory enumerates the lattice points in a polytope with respect to a group action. Answering a question of Stapledon, we describe the equivariant Ehrhart theory…
The Hopf Monoid of Orbit Polytopes
Mariel Supina
Many families of combinatorial objects have a Hopf monoid structure. Aguiar and Ardila introduced the Hopf monoid of generalized permutahedra and showed that it contains various ot…