The equivariant Ehrhart theory of the permutahedron

Andr\'es R. Vindas-Mel\'endez; Federico Ardila; Mariel Supina

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The equivariant Ehrhart theory of the permutahedron

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arxiv 1911.11159 v2 pith:LAXXFX2X submitted 2019-11-25 math.CO

Federico Ardila , Mariel Supina , Andrés R. Vindas-Meléndez This is my paper · ORCID

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keywords ehrhartequivarianttheorypermutahedronactionansweringcaseconjecture

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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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