The Perfect Lattices Γ (Un), and the Covering Density of Γ (U9)
EP Baranovskii - European Journal of Combinatorics, 1994 - Elsevier
EP Baranovskii
European Journal of Combinatorics, 1994•ElsevierA description of perfect lattices Γ (U n) generated by the L-polytopes U n is given. Γ (U n) is
the Coxeter lattice A rn for r=(n+ 1)/2. It is proved that the covering density of Γ (U 9) is less
than that of A* 9, the dual of the root lattice A 9. It is shown that all the L-polytopes of Γ (U 7)
are congruent to U 7.
the Coxeter lattice A rn for r=(n+ 1)/2. It is proved that the covering density of Γ (U 9) is less
than that of A* 9, the dual of the root lattice A 9. It is shown that all the L-polytopes of Γ (U 7)
are congruent to U 7.
A description of perfect lattices Γ (U n) generated by the L-polytopes U n is given. Γ (U n) is the Coxeter lattice A r n for r=(n+ 1)/2. It is proved that the covering density of Γ (U 9) is less than that of A* 9, the dual of the root lattice A 9. It is shown that all the L-polytopes of Γ (U 7) are congruent to U 7.
Elsevier
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