The strongly perfect lattices of dimension
This paper classifies the strongly perfect lattices in dimension . There are up to similarity two such lattices, and its dual lattice.
Lattices and association schemes : a unimodular example without roots in dimension 28
Some interesting lattices can be constructed using association schemes. We illustrate this by a unimodular lattice without roots of dimension 28 which admits as its automorphism group.
Odd unimodular lattices of minimum 4
Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15.
A lattice is called dual strongly perfect if both, the lattice and its dual, are strongly perfect. We show that there are no dual strongly perfect lattices of dimension 13 and 15.
Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines
Étant donnés un système de racines d’une des familles A, B, C, D, F, G et le groupe abélien libre qu’il engendre, on calcule explicitement la série de croissance de ce groupe relativement à Les résultats s’interprètent en termes du polynôme d’Ehrhart de l’enveloppe convexe de .
Über ganzzahlige unimodulare euklidische Gitter.
The genus of the Barnes-Wall lattice.
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