Sublattices of certain Coxeter lattices par Anne - Marie BERGÉ et Jacques MARTINET
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چکیده
In this paper, we describe the sublattices of some lattices, extending previous results of [Ber]. Our description makes intensive use of graphs.
منابع مشابه
Sublattices of certain Coxeter lattices par Anne - Marie BERGÉ
In this paper, we describe the sublattices of some lattices, extending previous results of [Ber]. Our description makes intensive use of graphs.
متن کامل1971, et Sém. Th. Nombres Paris 14.]
[2] A.-M. Bergé, Quelques résultats relatifs à l’ordre associé à une extension, Publi. Math. Bordeaux 5 (1972). [3] A.-M. Bergé, Arithmétique d’une extension galoisienne à groupe d’inertie cyclique, Ann. Inst. Fourier 28, 4 (1978), 17–44. [Voir aussi Comptes rendus Acad. Sc. Paris, 21 juillet 1975.] [4] A.-M. Bergé, Projectivité des anneaux d’entiers sur leurs ordres associés, Astérisque 61 (19...
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In this paper, we compute the kissing numbers of the sections of the Coxeter lattices A n+1 2 n , n odd, and in particular we prove that for n ≥ 7 they cannot be perfect. The proof is merely combinatorial and relies on the structure of graphs canonically attached to the sections.
متن کاملSublattices of Certain Coxeter Lattices
In this paper, we describe the sublattices of some lattices, extending previous results of [Ber]. Our description makes intensive use of graphs. Résumé. Dans cet article, nous décrivons les sous-réseaux de certains réseaux de Coxeter, prolongeant les résultats de [Ber]. Notre description utilise des graphes. In his 1951 paper Extreme forms ([Cox]), the late Coxeter studied lattices Λ which sati...
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The maximal index of a Euclidean lattice L of dimension n is the maximal index of the sublattices of L spanned by n independent minimal vectors of L. In this paper, we prove that a perfect lattice of maximal index two which is not provided by a cross-section has dimension at most 5.
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تاریخ انتشار 2005