Polytopes associated to dihedral groups
Baumeister, Barbara ; Haase, Christian ; Nill, Benjamin ; Paffenholz, Andreas
ARS MATHEMATICA CONTEMPORANEA, Tome 6 (2013), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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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.

Publié le : 2013-01-01
DOI : https://doi.org/10.26493/1855-3974.289.91d 
@article{289,
     title = {Polytopes associated to dihedral groups},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {6},
     year = {2013},
     doi = {10.26493/1855-3974.289.91d},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/289}
}

Baumeister, Barbara; Haase, Christian; Nill, Benjamin; Paffenholz, Andreas. Polytopes associated to dihedral groups. ARS MATHEMATICA CONTEMPORANEA, Tome 6 (2013) . doi : 10.26493/1855-3974.289.91d. http://gdmltest.u-ga.fr/item/289/