Constructions of algebraic lattices

Andrade, A. A.; Ferrari, A. J.; Benedito, C. W. O.; Costa, S. I. R.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/22173

Title:

Constructions of algebraic lattices

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)

ISSN:

1807-0302

Abstract:

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.

Issue Date:

1-Jan-2010

Citation:

Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 29, n. 3, p. 493-505, 2010.

Time Duration:

493-505

Publisher:

Sociedade Brasileira de Matemática Aplicada e Computacional

Keywords:

algebraic lattice
algebraic number field
Center density
twisted canonical homomorphism

Source:

http://dx.doi.org/10.1590/S1807-03022010000300010

URI:

http://hdl.handle.net/11449/22173

Access Rights:

Acesso aberto

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/22173

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