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The -subspace polytope is defined as the convex hull of the characteristic vectors of all -dimensional subspaces of
a finite affine space. The particular case of the hyperplane polytope
has been investigated by Maurras (1993) and Anglada and Maurras (2003), who gave a complete characterization of the facets. The general -subspace polytope that we consider shows a much more involved structure, notably as regards facets. Nevertheless, several families of facets are established here. Then the group...
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