Polytopes associated to Dihedral Groups

Published 18 Dec 2012 in math.CO, math.GR, and math.RT | (1212.4442v1)

Abstract: In this note we investigate the convex hull of those $n \times n$-permutation matrices that correspond to symmetries of a regular $n$-gon. We give the complete facet description. As an application, we show that this yields a Gorenstein polytope, and we determine the Ehrhart $h^*$-vector.

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