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Batut, Christian; Martinet, Jacques

Radiography of perfect lattices. (Radiographie des réseaux parfaits.) (French) Zbl 0810.11040

Exp. Math. 3, No. 1, 39-49 (1994).
The authors study lattices in Euclidean \(n\)-space \(E^ n\) containing \(n\) independent minimal vectors; in particular perfect lattices. They investigate the property of perfection for relative lattices spanned by minimal vectors for some classical lattices. As a helpful tool they consider sections (generated by the lattice) of small codimension. The investigated lattices have ‘small’ dimensions and are closely related to the Leech lattice.
Reviewer: J.M.Wills (Siegen)

Cited in 4 Documents

MSC:

11H06 Lattices and convex bodies (number-theoretic aspects)
11H50 Minima of forms
52C07 Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry)

Keywords:

small dimensions; lattices; minimal vectors; perfect lattices; Leech lattice

Software:

PARI/GP
Cite Review PDF
Full Text: DOI EuDML EMIS

References:

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