Polytopes associated to Dihedral Groups
Combinatorics
2012-12-19 v1 Group Theory
Representation Theory
Abstract
In this note we investigate the convex hull of those -permutation matrices that correspond to symmetries of a regular -gon. We give the complete facet description. As an application, we show that this yields a Gorenstein polytope, and we determine the Ehrhart -vector.
Keywords
Cite
@article{arxiv.1212.4442,
title = {Polytopes associated to Dihedral Groups},
author = {Barbara Baumeister and Christian Haase and Benjamin Nill and Andreas Paffenholz},
journal= {arXiv preprint arXiv:1212.4442},
year = {2012}
}