The equivariant Ehrhart theory of the permutahedron

Ardila, Federico; Supina, Mariel; Vindas-Meléndez, Andrés

doi:10.1090/proc/15113

The equivariant Ehrhart theory of the permutahedron
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by Federico Ardila, Mariel Supina and Andrés R. Vindas-Meléndez PDF

Proc. Amer. Math. Soc. 148 (2020), 5091-5107 Request permission

Abstract:

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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