The equivariant Ehrhart theory of the permutahedron

The equivariant Ehrhart theory of the permutahedron

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 of the permutahedron, and we prove his Effectiveness Conjecture in this special case.

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Veröffentlicht in:arXiv.org 2020-07
Hauptverfasser: Ardila, Federico, Supina, Mariel, Vindas-Meléndez, Andrés R
Format: Artikel
Sprache:eng
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Zusammenfassung: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 of the permutahedron, and we prove his Effectiveness Conjecture in this special case.
ISSN:2331-8422