The Arithmetic of Coxeter Permutahedra
Combinatorics
2021-12-21 v1
Abstract
Ehrhart theory measures a polytope P discretely by counting the lattice points inside its dilates P, 2P, 3P, .... We compute the Ehrhart quasipolynomials of the standard Coxeter permutahedra for the classical Coxeter groups, expressing them in terms of the Lambert W function. A central tool is a description of the Ehrhart theory of a rational translate of an integer zonotope.
Keywords
Cite
@article{arxiv.2004.02952,
title = {The Arithmetic of Coxeter Permutahedra},
author = {Federico Ardila and Matthias Beck and Jodi McWhirter},
journal= {arXiv preprint arXiv:2004.02952},
year = {2021}
}
Comments
14 pages, 3 figures, 2 tables