Séminaire Lotharingien de Combinatoire, 84B.83 (2020), 12 pp.

Federico Ardila, Mariel Supina and Andrés R. Vindas-Meléndez

The Equivariant Ehrhart Theory of the Permutahedron

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.

Received: November 20, 2019. Accepted: February 20, 2020. Final version: April 30, 2020.

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