Polytopes associated to dihedral groups

Polytopes associated to dihedral groups

In this note we investigate the convex hull of those n × 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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Veröffentlicht in:Ars mathematica contemporanea 2014-01, Vol.7 (1), p.30-38
Hauptverfasser: Baumeister, Barbara, Haase, Christian, Nill, Benjamin, Paffenholz, Andreas
Format: Artikel
Sprache:eng
Schlagworte:
dihedral groups
lattice polytopes
matematik
Mathematics
Permutation polytopes
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Beschreibung
Zusammenfassung:In this note we investigate the convex hull of those n × 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.
ISSN:1855-3966
1855-3974
DOI:10.26493/1855-3974.289.91d