Constructions of algebraic lattices

In this work we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,6,8 and K12. These algebraic lattices are constructed through twisted canonical homomorphism via...

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Bibliographic Details
Published inComputational & applied mathematics Vol. 29; no. 3; pp. 493 - 505
Main Authors Andrade, A.A, Ferrari, A.J, Benedito, C.W.O, Costa, S.I.R
Format Journal Article
LanguageEnglish
Published Sociedade Brasileira de Matemática Aplicada e Computacional 2010
Subjects
MATHEMATICS, APPLIED
algebraic number field
twisted canonical homomorphism
center density
algebraic lattice
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ISSN1807-0302
DOI10.1590/S1807-03022010000300010

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Summary:In this work we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,6,8 and K12. These algebraic lattices are constructed through twisted canonical homomorphism via ideals of a ring of algebraic integers. Mathematical subject classification: 18B35, 94A15, 20H10.
ISSN:1807-0302
DOI:10.1590/S1807-03022010000300010