The equivariant Ehrhart theory of the permutahedron
Combinatorics
2020-07-20 v2
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.
Keywords
Cite
@article{arxiv.1911.11159,
title = {The equivariant Ehrhart theory of the permutahedron},
author = {Federico Ardila and Mariel Supina and Andrés R. Vindas-Meléndez},
journal= {arXiv preprint arXiv:1911.11159},
year = {2020}
}
Comments
v2: Minor edits. To appear in Proceedings of the American Mathematical Society. 15 pages, 2 figures, 3 tables, comments welcome