The equivariant Ehrhart theory of the permutahedron
arXiv:1911.11159
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.
v2: Minor edits. To appear in Proceedings of the American Mathematical Society. 15 pages, 2 figures, 3 tables, comments welcome